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114 results on '"Ersoy, Bayram Ali"'

1. S-J-Ideals: A Study in Commutative and Noncommutative Rings

Author

Abouhalaka, Alaa, Çay, Hatice, and Ersoy, Bayram Ali

Subjects
Mathematics - Rings and Algebras, 16N20, 16N40, 16N60, 16N80, 16W99
Abstract

In this paper, we introduce the concept of S-J-ideals in both commutative and noncommutative rings. For a commutative ring R and a multiplicatively closed subset S, we show that many properties of J-ideals apply to S-J-ideals and examine their characteristics in various ring constructions, such as homomorphic image rings, quotient rings, cartesian product rings, polynomial rings, power series rings, idealization rings, and amalgamation rings. In noncommutative rings, where S is an m-system, we define right S-J-ideals. We demonstrate the equivalence of S-J-ideals and right S-J-ideals in commutative rings with identity and provide examples to illustrate the connections between right S-prime ideals and J-ideals.

Published
2024
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2. Phi Classical 1-Absorbing Prime Submodule

Author

Uçar, Zeynep Yılmaz, Ersoy, Bayram Ali, Tekir, Ünsal, Çelikel, Ece Yetkin, and Onar, Serkan

Subjects
Mathematics - Rings and Algebras, 13A15, 13C05, 13C60
Abstract

In this paper, all rings are commutative with nonzero identity. Let M be an R-module. We introduce the concept of phi classical 1-absorbing prime submodules. A proper submodule N of M is a phi classical 1-absorbing prime submodule if whenever non units a, b, c belongs to R and m belongs to M with abcm belongs to N and does not belong to phi(N), then abm belongs to N or cm belongs to N. Many properties and characterizations of phi classical 1-absorbing prime submodules are given., Comment: 18 pages. arXiv admin note: substantial text overlap with arXiv:2403.19659, arXiv:1507.08981, arXiv:1505.06730; text overlap with arXiv:2405.05971

Published
2024

4. On classical 1-absorbing prime submodules

Author

Uçar, Zeynep Yılmaz, Ersoy, Bayram Ali, Tekir, Ünsal, Koç, Suat, and Onar, Serkan

Subjects
Mathematics - Rings and Algebras, 13A15, 13C05, 13C13
Abstract

In this study, we aim to introduce the concept of classical 1-absorbing prime submodules of a nonzero unital module $M$ over a commutative ring $A$ with unity. A proper submodule $P$ of $M$ is said to be a classical 1-absorbing prime submodule, if for each $m\in M$ and nonunits $a,b,c\in A,$ $abcm\in P$ implies that $abm\in P$ or $cm\in P$. We give many examples and properties of classical 1-absorbing prime submodules. Also, we investiage the classical 1-absorbing prime submodules of tensor product $F\otimes M$ of a (faithfully) flat $A$-module $F$ and any $A$-module $M$. Furthermore, we determine classical prime, classical 1-absorbing prime and classical 2-absorbing submodules of amalgamated duplication $M\bowtie I$ of an $A$-module $M$ along an ideal $I$. Also, we characterize local rings $(A,\mathfrak{m})$ with $\mathfrak{m}^{2}=0$ in terms of classical 1-absorbing prime submodules., Comment: 17 pages. arXiv admin note: text overlap with arXiv:2403.19659

Published
2024

5. On weakly classical 1-absorbing prime submodules

Author

Uçar, Zeynep Yılmaz, Ersoy, Bayram Ali, Tekir, Ünsal, Koç, Suat, and Onar, Serkan

Subjects
Mathematics - Rings and Algebras, 13A15, 13C05, 13C13
Abstract

In this paper, we study weakly classical 1-absorbing prime submodules of a nonzero unital module $M$ over a commutative ring $R$ having a nonzero identity. A proper submodule $N$ of $M$ is said to be a weakly classical 1-absorbing prime submodule, if for each $m\in M$ and nonunits $a,b,c\in R,$ $0\neq abcm\in N$ implies that $abm\in N$ or $cm\in N$. We give various examples and properties of weakly classical 1-absorbing prime submodules. Also, we investiage the weakly classical 1-absorbing prime submodules of tensor product $F\otimes M$ of a (faithfully) flat $R$-module $F$ and any $R$-module $M.$ Also, we prove that if every proper submodule of an $R$-module $M$ is weakly classical 1-absorbing prime, then $Jac(R)^{3}M=0$. In terms of this result, we characterize modules over local rings in which every proper submodule is weakly classical 1-absorbing prime., Comment: 16 pages

Published
2024

6. Graded Pseudo Weakly Prime Spectrum Of Graded Topological Modules

Author

Al-shorman, Tamem, Bataineh, Malik, Bolat, Melis, and Ersoy, Bayram Ali

Subjects
Mathematics - General Mathematics
Abstract

In this study, we introduce graded pseudo weakly prime submodules of G-graded R-modules, which are an extension of graded weakly prime ideals over G-graded rings. On the graded spectrum of graded pseudo weakly prime submodules, we investigate the Zariski topology. Different aspects of this topological space are investigated, and they are linked to the algebraic properties of the G-graded R-modules under study.

Published
2022

7. $\delta$-$r$-Hyperideals and $\phi$-$\delta$-$r$-Hyperideals of Commutative Krasner Hyperrings

Author

Xu, Peng, Bolat, Melis, Kaya, Elif, Onar, Serkan, Ersoy, Bayram Ali, and Hila, Kostaq

Subjects
Mathematics - General Mathematics, 13A15, 13C05, 13C13
Abstract

In this paper, our purpose is to define the expansion of $r$-hyperideals and extend this concept to $\phi$-$\delta$-$r$-hyperideal. Let $\Re$ be a commutative Krasner hyperring with nonzero identity. Given an expansion $\delta$ of hyperideals, a proper hyperideal $N$ of $\Re$ is called $\delta $-$r$-hyperideal if $a\cdot b\in N$ with $ann(a)=0$ implies that $b\in \delta(N)$, for all $a,b\in\Re$. Therefore, given an expansion $\delta$ of hyperideals and a hyperideal reduction $\phi$, a proper hyperideal $N$ of $\Re$ is called $\phi$-$\delta$-$r$-hyperideal if $a\cdot b\in N-\phi(N)$ with $ann(a)=0$ implies that $b\in\delta(N)$, for all $a,b\in\Re$. We investigate some of their properties and give some examples.

Published
2021

8. $\phi$-$\delta$-Primary Hyperideals in Krasner Hyperrings

Author

Kaya, Elif, Bolat, Melis, Onar, Serkan, Ersoy, Bayram Ali, and Hila, Kostaq

Subjects
Mathematics - General Mathematics, 13A15, 13C05, 16Y20
Abstract

In this paper, we study commutative Krasner hyperring with nonzero identity. $\phi$-prime, $\phi$-primary and $\phi$-$\delta$-primary hyperideals are introduced. We intend to extend the concept of $\delta$-primary hyperideals to $\phi$-$\delta$-primary hyperideals. We give some characterizations of hyperideals to classify them. We denote the set of all hyperideals of $\Re$ by $L(\Re)$ (all proper hyperideals of $\Re$ by $L^{\ast }(\Re)).$ Let $\phi$ be a reduction function such that $\phi:L(\Re)\rightarrow L(\Re)\cup\{\emptyset\}$ and $\delta$ be an expansion function such that $\delta:L(\Re)\rightarrow L(\Re).$ $N$ be a proper hyperideal of $\Re.$ $N$ is called $\phi$-$\delta$-primary hyperideal of $\Re$ if $a\circ b\in N-$ $\phi(N),$ then $a\in N$ or $b\in\delta(N),$ for some $a,b\in\Re.$ We\ discuss the relation between $\phi$-$\delta$-primary hyperideal and other hyperideals.

Published
2021

9. $r$-Hyperideals and Generalizations of $r$-Hyperideals in Krasner Hyperrings

Author

Xu, Peng, Bolat, Melis, Kaya, Elif, Onar, Serkan, Ersoy, Bayram Ali, and Hila, Kostaq

Subjects
Mathematics - General Mathematics, 13A15, 13C05
Abstract

In this study, we examine some properties of $r$-hyperideals in the commutative Krasner hyperrings. Some properties of $pr$-hyperideals are also studied. The relation between prime hyperideals and $r$-hyperideals is investigated. We show that the image and the inverse image of an $r$-hyperideal is also an $r$-hyperideal. We also introduce a generalization of r-hyperideals and we prove some properties of them.

Published
2021

13. Rings satisfying *-property

Author

Oral, Kursat Hakan, Ersoy, Bayram Ali, and Tekir, Unsal

Subjects
Mathematics - Commutative Algebra, 13A15 (Primary), 16E50, 13E10 (Secondary)
Abstract

In this paper we will investigate commutative rings which have the $\ast $-property. We say that a ring $R$ satisfy $\ast-$property if for any family of ideals $\left\{ I_{\alpha}\right\} _{\alpha\in S}$ of $R$ in which $S$ is an index set, there exists a finite subset\ $S^{\prime}$ of $S$ such that the radical of the intersection of the family of ideals $\left\{ I_{\alpha}\right\} _{\alpha\in S}$ is equal to the intersection of the radicals of ideals $\left\{ I_{\alpha}\right\} _{\alpha\in S^{\prime}}$ . We will show that any integral domain which satisfy $\ast-$property is a field. Furthermore, these rings are zero-dimensional. After this we give relations between these rings and Artinian rings.

Published
2016

15. Soft {\Gamma}-Semirings

Author

Bektaş, Özcan, Bayrak, Nurten, and Ersoy, Bayram Ali

Subjects
Mathematics - Rings and Algebras
Abstract

In this paper, the definitions of soft {\Gamma}-semirings and soft sub {\Gamma}-semi rings are introduced with the aid of the concept of soft set theory introduced by Molodtsov. In the mean time, some of their properties and structural characteristics are investigated and discussed. Thereafter, several illustrative examples are given.

Published
2012

16. δ-primary subhypermodules on Krasner hyperrings.

Author

Kaya, Elif, Bolat, Melis, Ersoy, Bayram Ali, Onar, Serkan, Hila, Kostaq, and Davvaz, Bijan

Subjects
HOMOMORPHISMS, MULTIPLICATION
Abstract

In this paper, we study commutative Krasner hyperrings with nonzero identity and nonzero unital hypermodules. We introduce a new concept, the δ-primary subhypermodule on Krasner hyperrings. Some characterizations and properties for δ-primary subhypermodules using the expansion function δ are provided. The images and inverse images of δ-primary subhypermodules under homomorphism are investigated. Finally, some characterizations for multiplication hypermodules with some special conditions are provided. [ABSTRACT FROM AUTHOR]

Published
2024
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17. δ(0)-IDEALS OF COMMUTATIVE RINGS.

Author

Chhiti, Mohamed, Ersoy, Bayram Ali, Kaiba, Khalid, and Tekir, Ünsal

Subjects
PRIME ideals
Abstract

Let R be a commutative ring with nonzero identity, let I(R) be the set of all ideals of R and δ: I(R) → I(R) be a function. Then δ is called an expansion function of ideals of R if whenever L, I, J are ideals of R with J ⊆ I, we have L ⊆ δ(L) and δ(J) ⊆ δ(I). In this paper, we present the concept of δ(0)-ideals in commutative rings. A proper ideal I of R is called a δ(0)-ideal if whenever a, b ∈ R with ab ∈ I and a/∈ δ(0), we have b ∈ I. Our purpose is to extend the concept of n-ideals to δ(0)-ideals of commutative rings. Then we investigate the basic properties of δ(0)-ideals and also, we give many examples about δ(0)-ideals. [ABSTRACT FROM AUTHOR]

Published
2024
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18. Graded pseudo weakly prime spectrum of graded topological modules.

Author

AL-SHORMAN, TAMEM, BATAINEH, MALIK, BOIAT, MELIS, and ERSOY, BAYRAM ALI

Subjects
PRIME ideals, TOPOLOGY
Abstract

In this study, we introduce graded pseudo weakly prime submodules of G-graded R-modules, which are an extension of graded weakly prime ideals over G-graded rings. On the graded spectrum of graded pseudo weakly prime submodules, we investigate the Zariski topology. Different aspects of this topological space are investigated, and they are linked to the algebraic properties of the G-graded R-modules under study. [ABSTRACT FROM AUTHOR]

Published
2024
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20. Study of Γ-hyperrings by fuzzy hyperideals with respect to a t-norm

Author

Naka Krisanthi, Hila Kostaq, Onar Serkan, and Ersoy Bayram Ali

Subjects
γ-hyperrings, t-norm, t-fuzzy (resp. left, right) hyperideal, t-fuzzy quasi(bi)-hyperideal, 16y99, 16d25, 20n20, 08a72, Mathematics, QA1-939
Abstract

In this paper, we study the Γ-hyperrings via T-fuzzy hyperideals. By means of the use of a triangular norm T, we define, characterize and study the T-fuzzy left and right hyperideals, T-fuzzy quasi-hyperideal and bi-hyperideal in Γ-hyperrings and some related properties are investigated. Regular Γ-hyperrings are characterized in terms of T-fuzzy quasi-hyperideal and T-fuzzy bi-hyperideal. We also introduce the T-(λ, µ)-fuzzy bi-hyperideals in Γ-hyperrings and investigate some of their properties.

Published
2019
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21. Amalgamated algebras along an ideal defined by 1-absorbing-like conditions.

Author

Khalfi, Abdelhaq El, Kolotoğlu, Tuğba, Mahdou, Najib, Tekir, Ünsal, and Ersoy, Bayram Ali

Subjects
IDEALS (Algebra), COMMUTATIVE rings, PRIME ideals
Abstract

Let R be a commutative ring with nonzero identity. A proper ideal I of R is called a 1-absorbing prime ideal (respectively, 1-absorbing primary ideal) if whenever nonunit elements a , b , c ∈ R with a b c ∈ I , then a b ∈ I or c ∈ I (respectively, a b ∈ I or c ∈ I ). The purpose of this paper is to study the transfer of certain 1-absorbing-like properties to amalgamation of A with B along J with respect to f (denoted by A ⋈ f J), introduced and studied by D'Anna, Finocchiaro and Fontana. Our results provide new techniques for the construction of new original examples satisfying the above-mentioned properties. [ABSTRACT FROM AUTHOR]

Published
2024
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23. ON BIPOLAR COMPLEX FUZZY Hv -SUBGROUPS.

Author

YAVUZ, SANEM, ONAR, SERKAN, and ERSOY, BAYRAM ALI

Subjects
FUZZY sets, FUZZY graphs
Abstract

The target of this article is to peruse bipolar complex fuzzy subhypergroups (Hv -subgroups) by employing bipolar complex fuzzy sets and hyperstructures besides of this some related properties are debated. Furthermore, the notion of bipolar complex anti-fuzzy subhypergroups (Hv -subgroups) is presented. Their characteristics and their connections with bipolar complex fuzzy and anti-fuzzy subhypergroups (Hv -subgroups) are proposed, with several examples demonstrating these concepts. [ABSTRACT FROM AUTHOR]

Published
2023

24. INTUITIONISTIC FUZZY SOFT HYPERALGEBRAS.

Author

BOLAT, MELIS, ONAR, SERKAN, and ERSOY, BAYRAM ALI

Subjects
SOFT sets, HOMOMORPHISMS
Abstract

This study introduces the idea of intuitionistic fuzzy soft hyperalgebra. First, intuitionistic fuzzy soft hyperalgebra is defined and this definition is supported with an example. A level soft set is formed over a hyperalgebra of an intuitionistic fuzzy soft set. The relation between soft hyperalgebras and intuitionis-tic fuzzy soft hyperalgebras is given. Finally, intuitionistic fuzzy soft hyperalgebra homomorphism is established and demonstrated if the image and inverse image of an intuitionistic fuzzy soft hyperalgebra are both intuitionistic fuzzy soft hyperalgebras under homomorphism. [ABSTRACT FROM AUTHOR]

Published
2023

26. Intuitionistic Complex Fuzzy Hv-subgroups.

Author

YAVUZ, SANEM, ONAR, SERKAN, ERSOY, BAYRAM ALI, DAVVAZ, BIJAN, and HILA, KOSTAQ

Subjects
SET theory, FUZZY sets
Abstract

In this paper, we deal with the algebraic structure of subhypergroups (Hv-subgroups) in terms of intuitionistic complex fuzzy set theory. The notion of intuitionistic complex fuzzy subhypergroups (or Hv- subgroups) is introduced, characterizations and algebraic properties of them are investigated. Additionally, intuitionistic complex anti-fuzzy subhypergroups (or Hv-subgroups) are introduced and their properties are provided. Finally, some fundamental results and transitions between two notions are given. Several examples are provided to illustrate the results. [ABSTRACT FROM AUTHOR]

Published
2023

29. r-Hyperideals and Generalizations of r-Hyperideals in Krasner Hyperrings

Author

Xu, Peng, Bolat, Melis, Kaya, Elif, Onar, Serkan, Ersoy, Bayram Ali, and Hila, Kostaq

Subjects
13A15, 13C05, Article Subject, General Mathematics (math.GM), FOS: Mathematics, Mathematics - General Mathematics
Abstract

This paper deals with Krasner hyperrings as an important class of algebraic hyperstructures. We investigate some properties of r-hyperideals in commutative Krasner hyperrings. Some properties of pr-hyperideals are also studied. The relation between prime hyperideals and r-hyperideals is investigated. We show that the image and the inverse image of an r-hyperideal are also an r-hyperideal. We also introduce a generalization of r-hyperideals, and we prove some properties of them.

Published
2022
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30. 2-Absorbing δ-Primary Intuitionistic Fuzzy Ideals of Commutative Rings.

Author

Onar, Serkan, Özkan, Erdogan Mehmet, Ersoy, Bayram Ali, and Hila, Kostaq

Subjects
COMMUTATIVE rings, FUZZY sets, PRIME ideals, IDEALS (Algebra)
Abstract

In this paper, we study the primary intuitionistic fuzzy ideal, the intuitionistic fuzzy ideal expansion and δ -primary intuitionistic fuzzy ideal which assemble prime intuitionistic fuzzy ideals and primary intuitionistic fuzzy ideals. Some properties of them are investigated. Also, we scrutinize the relationships of δ -primary intuitionistic fuzzy ideal and δ -primary ideal of a commutative ring R. Moreover, we give a fundamental result about correspondence theorem for δ -primary intuitionistic fuzzy ideals. Further, we introduce 2-absorbing δ -primary intuitionistic fuzzy ideals which are the generalization of 2-absorbing intuitionistic fuzzy ideals and 2-absorbing primary intuitionistic fuzzy ideals. Some properties of them are obtained. [ABSTRACT FROM AUTHOR]

Published
2023
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32. δ -r-hyperideals and φ -δ -r-hyperideals of commutative Krasner hyperrings.

Author

Peng Xu, Bolat, Melis, Kaya, Elif, Onar, Serkan, Ersoy, Bayram Ali, and Hila, Kostaq

Subjects
COMMUTATIVE rings
Abstract

This paper deals with an important class of multialgebras, called Krasner hyperrings. Our purpose is to define the expansion of r-hyperideals and to extend this concept to φ-δ-r-hyperideal in commutative Krasner hyperrings with nonzero identity. δ-r-hyperideals of commutative Krasner hyperrings are studied. Some properties of φ-δ-r-hyperideals are investigated and several examples are provided. [ABSTRACT FROM AUTHOR]

Published
2023
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33. Intuitionistic Fuzzy Multi-Hypergroups.

Author

ONAR, SERKAN, ERSOY, BAYRAM ALI, DAVVAZ, BIJAN, and HILA, KOSTAQ

Subjects
HOMOMORPHISMS, FUZZY sets, HYPERGROUPS, GENERALIZATION
Abstract

In this paper, we define intuitionistic fuzzy multi-hypergroup which is the generalization of the concept of intuitionistic fuzzy hypergroup. Also we study some operations on intuitionistic fuzzy multihypergroups. In addition to this, we give some fundamental results and several examples regarding these notions. Moreover, we focus on homomorphisms of intuitionistic fuzzy multi-hypergroups. Furthermore, we discuss normal intuitionistic fuzzy multi-hypergroups. Lastly, we investigate intuitionistic fuzzy quotient multi-hypergroups. [ABSTRACT FROM AUTHOR]

Published
2022

36. ON REAL CURVE CONSTRUCTION FOR ASYMPTOTIC CRITICAL VALUE SET OF A POLYNOMIAL MAP

Author

ERSOY, Bayram Ali, TANABE, SUSUMU, and Gunduz, Abuzer

Abstract

In this note we present a method to construct a curve approaching an asymptotic critical value of a real polynomial map. Our main concern is to find real coefficients of parametric representation of the curve. This study can be applied to optimisation problems.

Published
2021

38. Intuitionistic fuzzy 2-absorbing semiprimary ideals of commutative rings

Author

Onar, Serkan, Yavuz, Sanem, Ersoy, Bayram Ali, and Hila, Kostaq

Abstract

AbstractThe aim of this paper is to define intuitionistic fuzzy 2-absorbing semiprimary ideals and to give their properties. Also, we represent image and inverse image of intuitionistic fuzzy 2-absorbing semiprimary ideal. Furthermore, we provide some properties of cartesian product and give equivalent case for IF2ASPI.

Published
2022
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40. ON CYCLIC CODES AND CYCLIC LCD CODES FROM THE FAMILY OF GROUP RINGS ℤ4Cn

Author

KÖROĞLU, Mehmet Emin and ERSOY, Bayram Ali

Subjects
Group rings,cyclic codes,zero divisors,linear complementary dual (LCD) codes, Fen, Science
Abstract

In this work, we study the structure of cyclic zero divisor codes over a family of group rings. We determine the number of elements of these codes and introduce the dual codes. Moreover, we show that there is no non-free cyclic LCD ℤ4 codes.

Published
2019

41. Intuitionistic Fuzzy 2-Absorbing Primary Ideals of Commutative Rings

Author

YAVUZ, Sanem, ONAR, Serkan, SÖNMEZ, Deniz, ERSOY, Bayram Ali, and YEŞİLOT, Gürsel

Subjects
Mathematics::Logic, Engineering, Mathematics::Commutative Algebra, Mathematics::General Mathematics, Computer Science::Logic in Computer Science, 2-Absorbing Ideal,Intuitionistic Fuzzy 2- Absorbing Primary Ideal,Intuitionistic Fuzzy Weakly Completely 2- Absorbing Primary Ideal, Mühendislik
Abstract

The aim of this paper is to give a definition of intuitionistic fuzzy 2-absorbing primary ideal and intuitionistic fuzzy weakly completely 2-absorbing primary ideals of commutative rings and to give their properties. Moreover, we give a diagram of transition between definitions of intuitionistic fuzzy 2- absorbing primary ideals of commutative rings.

Published
2018

43. On ϕ-δ-Primary Submodules

Author

Ersoy, Bayram Ali, Tekir, Ünsal, Kaya, Elif, Bolat, Melis, and Koç, Suat

Abstract

In this paper, we introduce and study a new class of submodules which unify the concepts of prime and primary submodules. Let Mbe a unital module over a commutative ring R,ϕ:L(M)→L(M)∪∅be a reduction function and δ:L(R)→L(R)be an expansion function, where L(M)is the lattice of all submodules of Mand L(R)is the lattice of all ideals of R.A proper submodule Nof Mis said to be a ϕ-δ-primary submodule of Mif whenever am∈N-ϕ(N)for some a∈Rand m∈M,then either a∈δ((N:M))or m∈N.Many properties, characterizations and examples of ϕ-δ-primary submodules are given.

Published
2022
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44. On S-Zariski topology.

Author

Yıldız, Eda, Ersoy, Bayram Ali, Tekir, Ünsal, and Koç, Suat

Subjects
TOPOLOGY, TOPOLOGICAL property, COMMUTATIVE rings, MATHEMATICAL connectedness, PRIME ideals
Abstract

Let R be a commutative ring with nonzero identity and, S ⊆ R be a multiplicatively closed subset. An ideal P of R with P ∩ S = ∅ is called an S-prime ideal if there exists an (fixed) s ∈ S and whenver a b ∈ P for a , b ∈ R then either s a ∈ P or s b ∈ P. In this article, we construct a topology on the set SpecS(R) of all S-prime ideals of R which is generalization of prime spectrum of R. Also, we investigate the relations between algebraic properties of R and topological properties of SpecS(R) like compactness, connectedness and irreducibility. [ABSTRACT FROM AUTHOR]

Published
2021
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45. Vague soft module

Author

Onar, Serkan, primary, Yavuz, Sanem, additional, Ersoy, Bayram Ali, additional, and Hila, Kostaq, additional

Published
2018
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46. Soft Γ-Semirings

Author

Bektaş, Özcan, primary, Gürses, Nurten, additional, Onar, Serkan, additional, and Ersoy, Bayram Ali, additional

Published
2018
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48. ON CYCLIC CODES AND CYCLIC LCD CODES FROM THE FAMILY OF GROUP RINGS Z4Cn.

Author

KÖROĞLU, Mehmet Emin and ERSOY, Bayram Ali

Subjects
*CYCLIC codes, *GROUP rings, *LINEAR codes, *FAMILIES
Abstract

In this work, we study the structure of cyclic zero divisor codes over a family of group rings. We determine the number of elements of these codes and introduce the dual codes. Moreover, we show that there is no nonfree cyclic LCD Z4 codes. [ABSTRACT FROM AUTHOR]

Published
2019

49. ON CYCLIC CODES AND CYCLIC LCD CODES FROM THE FAMILY OF GROUP RINGS Z4Cn.

Author

KÖROĞLU, Mehmet Emin and ERSOY, Bayram Ali

Subjects
CYCLIC codes, GROUP rings, LINEAR codes, FAMILIES
Abstract

In this work, we study the structure of cyclic zero divisor codes over a family of group rings. We determine the number of elements of these codes and introduce the dual codes. Moreover, we show that there is no nonfree cyclic LCD Z4 codes. [ABSTRACT FROM AUTHOR]

Published
2019

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