نتایج جستجو برای: total graph of a commutative ring

تعداد نتایج: 23314752  

Journal: :journal of algebra and related topics 2015
a. sharma a. gaur

let $r$ be a commutative ring with identity. let $g(r)$ denote the maximal graph associated to $r$, i.e., $g(r)$ is a graph with vertices as the elements of $r$, where two distinct vertices $a$ and $b$ are adjacent if and only if there is a maximal ideal of $r$ containing both. let $gamma(r)$ denote the restriction of $g(r)$ to non-unit elements of $r$. in this paper we study the various graphi...

Journal: :iranian journal of mathematical sciences and informatics 0
a. r. naghipour

let r be a fnite commutative ring and n(r) be the set of non unit elements of r. the non unit graph of r, denoted by gamma(r), is the graph obtained by setting all the elements of n(r) to be the vertices and defning distinct vertices x and y to be adjacent if and only if x - yin n(r). in this paper, the basic properties of gamma(r) are investigated and some characterization results regarding co...

A. PARMAR S. VISWESWARAN

 The rings considered in this article are  commutative  with identity which admit at least two  nonzero annihilating ideals. Let $R$ be a ring. Let $mathbb{A}(R)$ denote the set of all annihilating ideals of $R$ and let $mathbb{A}(R)^{*} = mathbb{A}(R)backslash {(0)}$. The annihilating-ideal graph of $R$, denoted by $mathbb{AG}(R)$  is an undirected simple graph whose vertex set is $mathbb{A}(R...

Journal: :Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics 2019

پایان نامه :دانشگاه آزاد اسلامی - دانشگاه آزاد اسلامی واحد تهران مرکزی - دانشکده مدیریت 1392

data envelopment analysis (dea) is a powerful tool for measuring relative efficiency of organizational units referred to as decision making units (dmus). in most cases dmus have network structures with internal linking activities. traditional dea models, however, consider dmus as black boxes with no regard to their linking activities and therefore do not provide decision makers with the reasons...

Journal: :TURKISH JOURNAL OF MATHEMATICS 2016

Journal: :Journal of algebra combinatorics discrete structures and applications 2021

The rings considered in this article are commutative with identity. For an ideal $I$ of a ring $R$, we denote the annihilator $R$ by $Ann(I)$. An is said to be exact annihilating if there exists non-zero $J$ such that $Ann(I) = J$ and $Ann(J) I$. set all ideals $\mathbb{EA}(R)$ $\mathbb{EA}(R)\backslash \{(0)\}$ $\mathbb{EA}(R)^{*}$. Let $\mathbb{EA}(R)^{*}\neq \emptyset$. With [Exact Annihilat...

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