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Among the old results, there are only some results on the representation type of semigroups, namely, for a finite quite simple semigroup (I. S. Ponizovsky) and some semigroups of all transformations of a finite set (I. S. Ponizovsky, C. Ringel); these papers were discussed on finite representation type. If we talk about new results, and even for semigroup classes, then it should be noted works on representations of the semigroups generated by idempotents with partial zero multiplication (V. M. Bondarenko, O. M. Tertychna), semigroups generated by the potential elements (V. M. Bondarenko, O. V. Zubaruk) and representations of direct products of the symmetric second-order semigroup (V. M. Bondarenko, E. M. Kostyshyn). Such semigroups can have both a finite and infinite representation type. V. M. Bondarenko and Ja. V. Zatsikha described representation types of the third-order semigroups over a field, and indicate the canonical form of the matrix representations for any semigroup of finite representation type. This article is devoted to the study of similar problems for oversemigroups of commutative semigroups.

Objective: to analyze the dynamics of the immediate and long-term results of the treatment of resectable pancreatic head cancer (PHC) for the period from 1989 to 2019. Material and methods. The retrospective analysis of 123 consecutive cases of the treatment of resectable PHC has been performed. During period I (from 1989 to 2000) 11 patients were operated, during period II (from 2001 to 2013) - 72, and period III (from 2014 to 2019) - 40 patients. The structure and frequency rate of postoperative complications, 90-day mortality and the overall survival rate (by the Kaplan-Meier method) have been assessed. Results. The frequency rate of the postoperative complications in I, II, and III periods were 63.6, 48.6, and 52.5%, mortality - 0, 5,6 and 5.0 %, respectively (P > 0.05). The most common complication and cause of death in all the cases were pancreatic fistula. The indicators of the 3-year survival in I, II, and III periods were 10.0 ± 9.5 %, 18.5 ± 4.7 % and 35.3 ± 9.6 %, the median survival - 10, 13, and 22 months, respectively (P = 0.07). Conclusion . A high frequency rate of the postoperative complications with a relatively low rate of the postoperative mortality was observed in all the analyzed periods. Pancreatic fistula prevailed in the structure of the complications and was the cause of death in all the cases. In the last period there was a clear tendency to improve the long-term results of the treatment, which may be due to more active surgical tactics, increased frequency of combined operations with the resection of vessels and proportional decrease in the share of palliative (R2) operations, standardization of the volume of lymph node dissection, an increased proportion of one-stage operations and increasing the number of patients receiving adjuvant chemotherapy.

Objective: to analyze short-term and long-term results of one-step surgery in resectable pancreatic head cancer (PHC), complicated by obstructive jaundice. Material and methods. The retrospective analysis of 123 consecutive cases of the surgical treatment of PHC has been performed. Group I (N = 33) consisted of patients with the total bilirubin level up to 100 µmol/l, group II (N = 31) - with the level of total bilirubin of 100-287 µmol/l who had undergone the one-step surgery. Group III (N = 59) included patients having undergone the surgical treatment with preoperative biliary drainage (PBD) in the form of the biliodigestive anastomoses or external drainage, with the total bilirubin level of 125-720 µmol/l. The frequency of postoperative complications, 90-day lethality and the overall survival rate were assessed by the Kaplan-Meier method. Results. The frequency of complications in the patients of groups I, II and III was 42.4, 48.4 and 35.6 %, lethality - 3.0, 3.2 and 6.8 %, respectively (P > 0.05); the 5-year survival rate - 39.7 ± 8.8 %, 30.1 ± 11.8 % and 4.9 ± 3.1 % (P = 0.004). Conclusion. The one-step surgical treatment of PHC with moderately severe obstructive jaundice was not accompanied with the increased frequency of postoperative complications and mortality. The overall survival rates were significantly higher in the patients undergoing the one-step surgery and did not correlate with the total bilirubin levels. The two-step surgery was accompanied by extremely low survival rates. The cancellation of the routine PBD procedure can be considered as one of the ways to improve the long-term outcomes of the PHC treatment.

We study the indecomposability and isomorphism of objects from the category of monomial matrices Mmat(K) over a commutative local principal ideal ring K (whose objects are square monomial matrices and the morphisms from X to Y are matrices C such that XC = CY). We also study the subcategory Mmat0(K) of the category Mmat(K) with the same objects and solely with morphisms that are monomial matrices.

Objective : to carry out the comparative analysis of clinical and morphological pathologic factors and long-term results of surgical treatment of cancer of the pancreas head (CPH) depending on prior biliary drainage (PBD). Material and methods . 39 patients (group I) were performed single-step surgery, PBD was performed in 41 cases (group II) at a total bilirubin level of more than 200 umol/l. Results . The prevalence of cancer of the pancreas head in the surveyed groups did not differ, patients of groups I and II revealed low-grade ductal adenocarcinoma in 43 and 79 %, respectively (p = 0.003), the survival median was 14 and 13 months, 3-year survival rate was found in 28.9 ± 8.4 and 3.5 ± 3.4 %, 5-year - 19.3 ± 7.9 and 0 % (p = 0.04). Conclusion . It is advisable to expand the indications for single-step surgical treatment for CPH complicated by obstructive jaundice.

An alternative method of displacements is introduced into the theory of so-called forecast internal energy losses. This theory is inevitably accompanied by the alternating sign of force loading for structural building materials. Previously, the author proposed the methods of evaluation for such energy losses basing on the level of the stress state. In contrast to these methods new method is looking for a difference of work of loading and unloading forces for displacement designs.

This article investigates the problem of calculating the energy losses in the alternating power loading of corroded reinforced concrete. This happens when one replaces the variables of the nonlinear characteristics of the power resistance and corrosion damage by an integral module of deformations and integral retention. They depend on intensity of loadings and corrosive influences.They are calculated from the condition of minimum variance for the height of the cross sections between the original integral values of structures characteristics

The nonlinearity of the power resistance and the irreversibility of deformation of concrete under alternating loading will inevitably cause significant uncompensated hysteresis energy losses. The extent of these losses depends on the level of loading-unloading. In industrial or transport and communication purposes buildings, these losses account for a significant portion of the total technological energy consumption and cost of enterprise products. It actualizes the problem of quantifying such losses. The article based on the above characteristics of the force of resistance an analytical method for quantitative estimation of these losses and illustrative example that confirms the prospects of the practical use made of developments.

We study combinatorial properties of Hasse diagrams of posets minimax equivalent to the smallest oversupercritical poset with trivial group of automorphisms. Cite as: V. M. Bondarenko, Yu. M. Orlovskaja, M. V. Styopochkina, "On Hasse diagrams connec­ted with the 1-oversupercritical poset (1, 3, 5)," Prykl. Probl. Mekh. Mat. , Issue. 16, 30–32 (2018), https://doi.org/10.15407/apmm2018.16.30-32

The article formulates the parcel assessment of energy losses in alternating deformation of reinforced concrete. A method of accounting for these losses when designing the structure; the method takes into account cases of the influence of corrosion damage on the loss and contains proposals on optimization in the design of reinforced concrete structures.

The problem of estimating of the energy loss under the alternating force deforming of re- inforced concrete is formulated and solved and the beginnings of a method of energy op- timization of reinforced concrete structures are described

Let F be a field of characteristic zero. Let W n ( F ) be the Lie algebra of all F -derivations with the Lie bracket [ D 1 , D 2 ] : = D 1 D 2 − D 2 D 1 on the polynomial ring F [ x 1 , … , x n ] . The problem of classifying finite dimensional subalgebras of W n ( F ) was solved if n ⩽ 2 and F = C or F = R . We prove that this problem is wild if n ⩾ 4 , which means that it contains the classical unsolved problem of classifying matrix pairs up to similarity. The structure of finite dimensional subalgebras of W n ( F ) is interesting since each derivation in case F = R can be considered as a vector field with polynomial coefficients on the manifold R n .

A method of estimation of the exposition of effective pre-stressing of reinforced concrete structures that takes the anisotropy, nonlinearity, and non-equilibrium of force resistance of damages into account is presented.

The article substantiates the position, by which the causes of the crisis situation in Russia and the world can be only understood through the prism of the visionary approach. This position has been confi rmed by the many-year search that resulted in development of the new cognition methodology, which made it possible to identify objective regularities in the human community development and to see the road for its further evolution.

Розглянуто існуючі способи маршрутизації голосового трафіку в IP-мережах. Описано їх переваги та недоліки. Запропоновано шляхи удосконалення існуючих методів маршрутизації. Сформульовані вимоги до алгоритму вибору найкращого маршруту. Описані основні параметри алгоритму. Запропоновані нові синтетичні параметри якості, що враховують короткострокові зміни.Бібл. 10, мал. 1, табл. 1, The existing ways of voice traffic routing in IP-networks and their advantages and disadvantages have been described. The requirements to the best route selection algorithm and ways of improving the existing routing methods have been formulated. Basic parameters of the best route algorithm have been described. The new synthetic quality parameters which taking into account the short-term changes have been proposed.References 10, Figures 1, Tables 1., Рассмотрены существующие способы маршрутизации голосового трафика в IP-сетях. Описаны их преимущества и недостатки. Предложены пути усовершенствования существующих методов маршрутизации. Сформулированы требования к алгоритму выбора наилучшего маршрута. Описаны основные параметры алгоритма. Предложены новые синтетические параметры качества, учитывающие краткосрочные изменения.Библ. 10, рис. 1, табл. 1

In the paper, the necessity of application of the proposals of RabotnovaYuNon using of quasi- linear equations of force resistance in the process of analysis of concrete and reinforced con- crete structures is motivated

Reactions of 3-(5-amino-1H-1,2,4-triazol-1-yl)- and 3-(2-amіno-1H-benzo[d]іmіdazol-1-yl)-3-phenylpropanehydrazides with carbonyl electrophiles such as acetylacetone, aromatic and heterocyclic aldehydes in the alcoholic medium complete by formation of the corresponding hydrazones as a E-geometric isomers and s-trans/cis conformers with respect to the amide bond. In more severe conditions elimination of hydrazone fragments and retrocondensation of aminoazolophenylpropionyl residues in dihydroazolopyrimidinones have been observed.The composition and structure of the hydrazones synthesized for the first time have been proven by data of elemental analysis, infrared spectroscopy (IR), nuclear magnetic resonance on protones (1H NMR) and mass spectra.Virtual screening of the substances obtained carried out by using the PASS programme for 780 types of pharmacological action has shown that these compounds are advisable to test for the presence of their antibacterial and fungicidal properties. However, the experimental evaluation of the antimicrobial activity of N1-ylidene derivatives of 3-phenylpropanehydrazides performed on five museum strains of test cultures has revealed a weak activity against Staphylococcus aureus only in 3-(5-amіno-1H-1,2,4-triazol-1-yl)-N1 benzilіdene-3-phenylpropanehydrazide.

A method of evaluation of force resistance of reinforced concrete is presented in dissipative definition which takes into the consideration non-linearity, non-balance of deforming and corrosion damages

An influence of coordinate changeableness of dissipative factors on force resistance of reinforced concrete to deforming is discovered, studied and brought in theory of reinforced concrete

Colo-duodenal fistula is a rare complication of malignant bowel disease. The article presents a brief review of the literature and a case report of radical surgery of the cancer of the hepatic flexure of the colon, complicated by colo-duodenal fistula, chronic intestinal obstruction, duodenal stenosis, severe anemia, malnutrition and gross weight loss with a positive immediate result. At the first stage of the surgery, bypassed loops were applied to restore the passage of the intestinal content and to reduce infection of the small intestine. A month later a curative operation was performed and included right-side hemicolectomy, gastropancreaticoduodenectomy, resection of paranephrium and the right kidney capsule, marginal excision of the IV liver segment and cholecystectomy with lymph node dissection along the hepatic artery and superior mesenteric, portal and inferior cava veins. The postoperative period was difficult with symptoms of severe hypoproteinemia. On the sixth day after surgery due to the outflow of bile from the liver defect, relaparotomy and drainage of the subhepatic cavity were performed. The patient was discharged 25 days after surgery resulted in convalescence.

With the analysis of the crisis situation in Russia and the world, the article, proceeding from the worldview approach, substantiates the pressing need to resolve the problems of Russia's socio-economic development, acceleration of its economic growth and sustainable development. Basing on the same platform, the author operating with the new methodological 'tool-kit’, reveals the objective cause of the unfolded systemic crisis and the possibility to start crisis-free sustainable development that would pursue the sole goal – to let any specific human being become perfect. The article is concluded by a proposal to develop a mega-project on formation of a new life-organization model and the mechanism for its realization at each local level.

We give a complete description of real numbers that are P-limit numbers for integer-valued positive-definite quadratic forms with unit coefficients of the squares. It is shown that each of these P-limit numbers is realized in the Tits quadratic form of a certain Dynkin diagram.

Aim. To determine a population level and significance of Helicobacter pylori in normal microbiocenosis and dysbiosis of mucosal microflora in the esophagogastroduodenal zone. Material and methods. Qualitative and quantitative composition of mucosal microflora was defined in biopsy specimens from different parts of the esophagus, stomach and duodenum and clinical and histological examinations were made in 50 healthy volunteers, 130 duodenal ulcer patients, 24 patients with gastric ulcer, 36 with chronic gastritis and 24 with chronic esophagitis. Results. H. pylori is a component of normal mucosal microbiota of the oesophagus, stomach and duodenum. These bacteria protect normal gastrointestinal microflora. Exacerbations of peptic ulcer, chronic gastritis and oesophagitis are accompanied with overgrowth of dysbiotic mucosal microflora and reduction of H. pylori content in most cases. Healing and scar formation occur both in the presence and absence of H. pylori. Conclusion. The presence of H. pylori in mucosal microbiocenosis in the oesophagogastroduodenal zone has no independent significance in exacerbation of ulcer disease, gastritis and oesophagitis and does not require eradication.

Symbiontic microflora prevents contamination of human intestine with foreign microflora; microbial enzymes split cellular tissue, proteins, fat, starch, deconjugate bile acids, synthetize B vitamins, amino acids, cholesterol and other substances. Microbial metabolism products - short-chain fatty acids - stimulate intestinal motility and are effective in some intestinal diseases. Bacterial therapy is able to modulate immune system and suppress chemical signalization of pathogenic microbes. Probiotics and functional nutrition represent a perspective trend in prophylaxis and treatment of human diseases. A criterion of probiotic efficacy is its ability to suppress foreign microflora and maintenance of normal microbial flora of the host. An essential probiotic function - support of normal immune system. In the future, probiotics will be employed in prevention and treatment of many human diseases. New probiotics and other forms of biopreparations should be designed basing on various species of symbiontic intestinal microflora.

Rheological state equations of materials are obtained on the base of the principle of the superposition of fraction creep strains. Boltzmann the first applied this principle when the fraction strains were independent of the value and duration of the rest stresses increments. The structural damages generate the dependence of these strains on all fraction stress increments. The quasilinear rheological equation is obtained on the base of the Boltzmann principle modification.

The method of estimation of resource of power resistance of reinforce-concrete elements is set forth on a sloping section taking into account corrosive damages

Sentences under the account dissipative influence of hysteresis power losses and corrosion damages of the materials ferro-concrete on power resistance of structures to deformation are proved and made at sign variable loading.

Aim. To propose pharmacotherapy of disbacteriosis of gastroduodenal mucous microflora in gastroduodenal inflammation, erosion and ulcer. Material and methods. The study enrolled 30 healthy volunteers, 130 ulcer patients and 36 patients with chronic gastritis (27% of the latter had chronic duodenitis). In addition to general clinical examination, fibrogastroduodenoscopy, we made histological and microbiological examinations of biopsy specimens of the mucosa from different parts of the stomach and duodenum, determined sensitivity of the microflora to antibacterial drugs. Results. We found that recurrent ulcer, chronic gastritis and duodenitis are accompanied with overgrowth of pathogenic microflora in gastric and duodenal mucosa. Conclusion. We developed an effective method of the treatment of gastroduodenal mucosa microflora disbacteriosis in gastroduodenal inflammation, erosion and ulcer including antibacterial, antifungal drugs and probiotics.

The task of accelerated modernization of Russia may be solved provided objective causes of the system crisis spread all over the country as a certain mankind system are revealed and efficient crisis way-out instruments are found. These instruments are determined in the article on the basis of a new method. It is demonstrated that only two mankind association development paradigms have existed over the long period of the history of mankind. Cycles, crises, utter confusions and other negative phenomena have been natural products of the second development paradigm, thetime factor playing most negative role therewith. Disproportions and desynchronization of all processes in time and space may be eradicated only if relations with every individual and his interests over the whole of his spiritual and material demands are synchronized with production that covers these demands; nothing extra should be produced. The new life arrangement model at every local level is actually the former first development paradigm based on the production/demand direct interrelation realized at a new hi-tech level.

In the interests of exploitation safety, the stages of corrosion and energetic dissipation of specific reological processes of force resistance of concrete and reinforced concrete structures under static and dynamic loads are investigated and estimated

The immediately and long-term results of treatment and structure of relapse are studied at 149 patients with gastric cancer (GC) of the IV stage (T4N1-3M0-1), being on treatment in the Gomel regional clinical oncologic centre in a period from 1996 to 2005. A basic group (I) 64 patients which after operation was conduct the postoperative course of radial therapy (RT) in a total dose 50-60 Gr and 4-6 courses of postoperative polichemiotherapy. A control group (II) patients which only surgical treatment was conducted to. All patient is execute the combined operations with lymphadenoectomy in a volume no less D2.The analysis of immediately results of treatment of patients of I group showed, the use of postoperative chemioradiation therapy does not lead to development of heavy complications and provides the satisfactory long-term results of treatment of patients of GC IV stage: five-year survivability in a I group 20,7+5,7% comparing to II group - 9,5+3,4%. Specific gravity of patients with a local relapse, 3,0% in a basic group, and in a control group 29,0%. Cases of appearance the isolated local relapses at the patients of the I group were not observed, while the patients of the II group were exposed in 22,3% cases, that testifies to the high degree of local control of tumour process at patients, gettings postoperative chemioradiation therapy.

Aim. To study mucous (parietal) gastroduodenal microflora in healthy persons, patients with ulcer and chronic gastritis, to develop diagnostic criteria and classification of gastroduodenal dysbacteriosis. Material and methods. Biopsy specimens were obtained from gastroduodenal mucosa of 134 patients with ulcer, 36 - with chronic gastritis and 28 healthy subjects. The mucous microflora agents were isolated microbiologically from biopsy specimens obtained from different compartments of the stomach and duodenum. The spectrum of their enzymatic activity and cytotoxic properties were determined. Results. Gastroduodenal mucous microflora of healthy subjects was represented with 1-2, less often with 3-4 cultures of 12 species, enzymatic activity spectrum of microorganisms was small, cytotoxicity was absent. In ulcer recurrence and exacerbation of chronic gastritis gastroduodenal zone showed dysbacteriosis characterized by overgrowth of mucous microflora (up to 22 species of microorganisms) with a wide spectrum of enzymatic activity and cytotoxic properties. The criteria of dysbacteriosis diagnosis and classification are proposed. Conclusion. The role of gastroduodenal mucous microflora in ulcer and gastritis course is specified. New approaches to effective treatment of gastroduodenal diseases may be developed with consideration of dysbacteriosis.

In this review new scientific technologies (genomics, proteomics, metabolomics, transcrip- tomics) were used to evaluate the prophylactic and therapeutic action of probiotics, which are a major component ofthe normal human microflora (microbiota). Modern terms, definitions, classification of probiotic preparations are provided in the paper, the list of the probiotics registered in the Russian Federation is also submitted. The review analyzes the majority of mechanisms of probiotics action on a human body. The problem of safe application of probiotics is considered along with the detailed characteristic of the most effective production probiotic strains. New scientific technology to assess the effects of probiotic bacteria on the various functions of the macroorganism are also examined. In the review the special attention is paid to discussion of effectiveness of the probiotics impact in chronic infectious and metabolic disease processes (atherosclerosis, lipid distress syndrome, type 2 diabetes, obesity, etc.), which are the most active during dysbacteriosis and the destruction of normal microflora. From data of this article clearly that new scientific technologies will allow us to establish the functions of proteins that regulate metabolic and signaling pathways and affect the expression of genes required for the adaptation of probiotic strains in contact with the human body. In this review it is shown that the successful solution of this problem is closely connected with application of new scientific technologies for studying the composition and functions of the human microbiota, methods of active influence on her, and also with development of more sophisticated and effective probiotic preparations.