ASTA Yazd University Algebraic Structures and Their Applications 2382-9761 Yazd University 10 Research Paper DOMINATION NUMBER OF TOTAL GRAPH OF MODULE DOMINATION NUMBER OF TOTAL GRAPH OF MODULE Shariatnia Abbas Islamic Azad University, Tehran, Iran Tehranian Abolfazl Islamic Azad University 01 02 2015 2 1 1 9 07 03 2015 04 07 2015 Copyright © 2015, Yazd University. 2015 http://as.yazd.ac.ir/article_665.html

Let \$R\$ be a commutative ring and \$M\$ be an \$R\$-module with \$T(M)\$ as subset, the set of torsion elements. The total graph of the module denoted by \$T(Gamma(M))\$, is the (undirected) graph with all elements of \$M\$ as vertices, and for distinct elements \$n,m in M\$, the vertices \$n\$ and \$m\$ are adjacent if and only if \$n+m in T(M)\$. In this paper we study the domination number of \$T(Gamma(M))\$ and investigate the necessary conditions for being \$mathbb{Z}_{n}\$ as module over \$mathbb{Z}_{m}\$ and we find the domination number of \$T(Gamma(mathbb{Z}_{n}))\$.

total graph domination number module
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ASTA Yazd University Algebraic Structures and Their Applications 2382-9761 Yazd University 10 Research Paper A note on vague graphs A note on vague graphs Rashmanlou H. Islamic Azad University, Central Tehran Branch Borzooei R.A. Shahid Beheshti University 01 02 2015 2 1 11 22 10 06 2015 03 09 2015 Copyright © 2015, Yazd University. 2015 http://as.yazd.ac.ir/article_666.html

In this paper, we introduce the notions of product vague graph, balanced product vague graph, irregularity and total irregularity of any irregular vague graphs and some results are presented. Also, density and balanced irregular vague graphs are discussed and some of their properties are established. Finally we give an application of vague digraphs.

Vague graph density balanced irregular vague graph product vague graph
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ASTA Yazd University Algebraic Structures and Their Applications 2382-9761 Yazd University 10 Research Paper ON NEW CLASSES OF MULTICONE GRAPHS DETERMINED BY THEIR SPECTRUMS ON NEW CLASSES OF MULTICONE GRAPHS DETERMINED BY THEIR SPECTRUMS Zeydi Abdian Ali Lorestan University Mirafzal S. Morteza Lorestan University 01 02 2015 2 1 23 34 07 05 2015 12 10 2015 Copyright © 2015, Yazd University. 2015 http://as.yazd.ac.ir/article_667.html

A multicone graph is defined to be join of a clique and a regular graph. A graph \$ G \$ is cospectral with graph \$ H \$ if their adjacency matrices have the same eigenvalues. A graph \$ G \$ is said to be determined by its spectrum or DS for short, if for any graph \$ H \$ with \$ Spec(G)=Spec(H)\$, we conclude that \$ G \$ is isomorphic to \$ H \$. In this paper, we present new classes of multicone graphs that are DS with respect to their spectrums. Also, we show that complement of these graphs are DS with respect to their adjacency spectrums. In addition, we show that graphs cospectral with these graphs are perfect. Finally, we find automorphism group of these graphs and one conjecture for further researches is proposed.

Adjacency spectrum Laplacian spectrum Multicone graph DS graph Automorphism group
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ASTA Yazd University Algebraic Structures and Their Applications 2382-9761 Yazd University 10 Research Paper Uniformly classical quasi-primary submodules Uniformly classical quasi-primary submodules Naderi M.H. University of Qom 01 02 2015 2 1 35 47 24 06 2015 25 12 2015 Copyright © 2015, Yazd University. 2015 http://as.yazd.ac.ir/article_668.html

In this paper we introduce the notions of uniformly quasi-primary ideals and uniformly classical quasi-primary submodules that generalize the concepts of uniformly primary ideals and uniformly classical primary submodules; respectively. Several characterizations of classical quasi-primary and uniformly classical quasi-primary submodules are given. Then we investigate for a ring \$R\$, when any finite intersection of (uniformly) primary submodules of any \$R\$-module is a (uniformly) classical quasi-primary submodule. Furthermore, the behavior of classical quasi-primary and uniformly classical quasi-primary submodules under localizations are studied. Also, we investigate the existence of (minimal) primary submodules containing classical quasi-primary submodules.

Classical quasi-primary Uniformly classical quasi-primary
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ASTA Yazd University Algebraic Structures and Their Applications 2382-9761 Yazd University 10 Research Paper On transitive soft sets over semihypergroups On transitive soft sets over semihypergroups Jafarpour M. Vali-e-Asr University Vahedi V. Vali-e-Asr University 01 02 2015 2 1 49 58 30 07 2014 30 01 2016 Copyright © 2015, Yazd University. 2015 http://as.yazd.ac.ir/article_678.html

The aim of this paper is to initiate and investigate new soft sets over semihypergroups, named special soft sets and transitive soft sets and denoted by \$S_{H}\$ and  \$T_{H},\$ respectively. It is shown that \$T_{H}=S_{H}\$ if and only if \$beta=beta^{*}.\$ We also introduce the derived semihypergroup from a special soft set and study some properties of this class of semihypergroups.

soft sets transitive soft sets (semi)hypergroup strongly regular relation
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ASTA Yazd University Algebraic Structures and Their Applications 2382-9761 Yazd University 10 Research Paper Similarity DH-Algebras Similarity DH-Algebras Gabriel Alminana Federico Universidad Nacional de San Juan, Argentina. Exequiel Pelayes Mathias Universidad Nacional de San Juan, Argentina. 01 02 2015 2 1 59 71 29 12 2015 18 03 2016 Copyright © 2015, Yazd University. 2015 http://as.yazd.ac.ir/article_726.html

In  cite{GL}, B. Gerla and I. Leuc{s}tean introduced the notion of similarity on MV-algebra. A similarity MV-algebra is an MV-algebra endowed with a binary operation \$S\$ that verifies certain additional properties. Also, Chirtec{s} in cite{C}, study the notion of similarity on L ukasiewicz-Moisil algebras. In particular, strong similarity L ukasiewicz-Moisil algebras were defined. In this paper we define and study the variety of similarity symmetric Heyting algebras (or similarity DH-algebras), i.e. symmetric Heyting algebras endowed with an operation of similarity \$S\$. These algebras are a generalization of strong similarity L ukasiewicz-Moisil algebras. In addition, we introduce a propositional calculus and prove this calculus has similarity DH-algebras as algebraic counterpart.

symmetric Heyting algebras Similarity \$S\$--filter
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