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One of the goals of the International Carbon Sequestration Project in South Khorasan Province is to study the sustainability of natural resources, especially in the rehabilitated areas, by reducing the reliance of villagers to the natural resources of the region, creating alternative livelihoods with job empowerment and solving the problems of villagers in the region, especially rural women. The purpose of this study was to predict the rural women’ empowerment who received microcredits during the project. The research was done through a descriptive-correlational method. Statistical sample includes 188 rural women who were members of the microcredit Fund. The validity of the questionnaire was confirmed by panel of research committee experts and the reliability was confirmed by calculating Cronbach's alpha coefficient to 0.95. The results of study showed that there is positively a significant correlation between rural women empowerment and variables of Membership Years, Loan Amount, and Loan adequacy, Age, Literacy Level and Income per month. But rural women empowerment could be predicted by three variables of Loan adequacy, Literacy Level and women Age. Also, Loan adequacy was known as the most powerful predictor of rural women empowerment. Given the positive impact of microcredits on rural women empowerment, as well as rural women empowerment to reduce pressure on ecosystems and improve carbon sequestration, it is proposed to increase the microcredit program and its amount.

Let 𝐴, 𝐵 be two unital 𝐶∗-algebras. We prove that every almost unital almost linear mapping ℎ : 𝐴→𝐵 which satisfies ℎ(3𝑛𝑢𝑦+3𝑛𝑦𝑢)=ℎ(3𝑛𝑢)ℎ(𝑦)+ℎ(𝑦)ℎ(3𝑛𝑢) for all 𝑢∈𝑈(𝐴), all 𝑦∈𝐴, and all 𝑛=0,1,2,…, is a Jordan homomorphism. Also, for a unital 𝐶∗-algebra 𝐴 of real rank zero, every almost unital almost linear continuous mapping ℎ∶𝐴→𝐵 is a Jordan homomorphism when ℎ(3𝑛𝑢𝑦+3𝑛𝑦𝑢)=ℎ(3𝑛𝑢)ℎ(𝑦)+ℎ(𝑦)ℎ(3𝑛𝑢) holds for all 𝑢∈𝐼1 (𝐴sa), all 𝑦∈𝐴, and all 𝑛=0,1,2,…. Furthermore, we investigate the Hyers- Ulam-Aoki-Rassias stability of Jordan ∗-homomorphisms between unital 𝐶∗-algebras by using the fixed points methods.

In this paper, we consider the additive-cubic-quartic functional equation 11[f(x+2y)+f(x−2y)]=44[f(x+y)+f(x−y)]+12f(3y)−48f(2y)+60f(y)−66f(x) and prove the generalized Hyers-Ulam stability of the additive-cubic-quartic functional equation in Banach spaces.

This study was conducted to determine the effect of gestational diabetes on the neuronal density of CA1 and CA3 subfields of the hippocampus in Wistar rat offspring. On day 1 of gestation, 10 dams were randomly allocated into two control and diabetic groups. Five animals in the diabetic group received 40 mg/kg/b.w. of streptozotocin (intraperitoneally) and the control animals were received normal saline. Six offspring of each of the gestational diabetics and controls were randomly selected in postnatal days 7 and 21. The infants were scarified and coronal sections were taken from the right dorsal hippocampus and stained with cresyl violet. The number of pyramidal cells per 10000 mm2 area and the thickness of layers of hippocampus in CA1 and CA3 were evaluated. In postnatal day 7, the number of pyramidal neurons in CA1 significantly reduced from 118.82 ± 8.0 in the control group to 84.71 ± 3.3 neurons in gestational diabetic group, and in postnatal day 21 it significantly reduced from 112.71 ± 6.9 in the control group to 91.52 ± 8.5 in the gestational diabetic group. Also, the number of pyramidal cells of CA3 on postnatal day 7 significantly reduced from 90.33 ± 8.1 in the control group to 62.86 ± 7.2 in the gestational diabetic group, and in P21 the number of pyramidal cells significantly reduced from 78.33 ± 2.4 in the control group to 61.7 ± 9.5 cells in the diabetic group. In CA1 and CA3 the thickness of the pyramidal layer on postnatal days 7 and 21 non-significantly increased in gestational diabetics in comparison with the controls. This study showed that uncontrolled gestational diabetes reduces the pyramidal neurons of the hippocampus in rat offspring. [ABSTRACT FROM AUTHOR]

Let A be a unital C*-algebras, B be a Banach algebra and let X be a Banach A-module. By using fixed point methods, we prove that: i) Every almost linear mapping h : A → B which satisfies h(2nuy) = h(2nu)h(y) for all u ∈ A+, all y ∈ A, and all n = 0, 1,2,…, is a homomorphism. ii) Every almost linear continuous mapping d : A → X is a derivation when d(2nuy) = d(2nu)y + 2nud(y) holds for all u ∈ A+, all u ∈ A, and all n = 0, 1, 2,…. [ABSTRACT FROM AUTHOR]

Let A, B be two unital C*-algebras. We prove that every almost unital almost linear mapping h : A → B which satisfies h(3nuy+3nyu) = h(3nu)h(y)+h(y)h(3nu) for all u ∈ U(A), all y ∈ A, and all n = 0, 1, 2,…, is a Jordan homomorphism. Also, for a unital C*-algebra A of real rank zero, every almost unital almost linear continuous mapping h : A → B is a Jordan homomorphism when h(3nuy+3nyu) = h(3nu)h(y)+h(y)h(3nu) holds for all u ∈ I1 (Asa), all y ∈ A, and all n = 0, 1, 2,…. Furthermore, we investigate the Hyers- Ulam-Aoki-Rassias stability of Jordan *-homomorphisms between unital C*-algebras by using the fixed points methods. [ABSTRACT FROM AUTHOR]

In this paper, we investigate Jordan homomorphisms in proper JCQ*-triples associated with the generalized 3-variable Jesnsen functional equation rf(x+y+z/r) = f(x) + f(y) + f(z), with r 2 (0; 3) n f1g. We moreover prove the Hyers-Ulam-Rassias stability of Jordan homomorphisms in proper JCQ*-triples. [ABSTRACT FROM AUTHOR]

In this note, we prove the Hyers-Ulam-Rassias stability of Jordan homomorphisms in C*-ternary algebras for the following generalized Cauchy-Jensen additive mapping: rf(sΣpj=1xj+tΣdj=1xj/r)=sΣpj=1f(xj)+tΣdj=1f(xj) and generalize some results concerning this functional equation. [ABSTRACT FROM AUTHOR]

We say a functional equation (ξ) is stable if any function g satisfying the equation (ξ) approximately is near to true-solution of (ξ). In this paper, we prove the Generalized Hyers-Ulam stability of ternary Jordan *-derivations in C* -ternary algebras for the following generalized Cauchy-Jensen additive mapping: rƒ(sΣj=1p xj + t Σj=1d xj/r = s Σj=1p ƒ(xj) + t Σj=1d ƒ(xj). [ABSTRACT FROM AUTHOR]

We obtain the general solution and the generalized Hyers-Ulam-Rassias stability of the mixed type additive, quadratic, and cubic functional equation f (x + 2y) - f (x - 2y) = 2 (f (x + y) - f (x - y)) + 2f (3y) - 6f (2y) + 6f (y). [ABSTRACT FROM AUTHOR]

Let n ϵ N, and let A, B be two rings. An additive map h : A → B is called n-Jordan homomorphism if h(an) = (h(a))n for all a ϵ A. In this paper, we establish the Hyers-Ulam-Rassias stability of n-Jordan homomorphisms on Banach algebras. Also we show that (a) to each approximate 3-Jordan homomorphism h from a Banach algebra into a semisimple commutative Banach algebra there corresponds a unique 3-ring homomorphism near to f, (b) to each approximate n-Jordan homomorphism h between two commutative Banach algebras there corresponds a unique n-ring homomorphism near to f for all n ϵ (3, 4, 5). [ABSTRACT FROM AUTHOR]