نتایج جستجو برای: comaximal ideal graph of a commutative ring

تعداد نتایج: 23297440  

Journal: :bulletin of the iranian mathematical society 0
n. ‎hoseini department of pure mathematics, ferdowsi university of mashhad, mashhad, iran. a. erfanian department of pure mathematics, ferdowsi university of mashhad, mashhad, iran. a. azimi department of pure mathematics, ferdowsi university of mashhad, mashhad, iran. m. farrokhi d. g. department of pure mathematics, ferdowsi university of mashhad, mashhad, iran.

‎let $r$ be a commutative ring with non-zero identity. ‎we describe all $c_3$‎- ‎and $c_4$-free intersection graph of non-trivial ideals of $r$ as well as $c_n$-free intersection graph when $r$ is a reduced ring. ‎also, ‎we shall describe all complete, ‎regular and $n$-claw-free intersection graphs. ‎finally, ‎we shall prove that almost all artin rings $r$ have hamiltonian intersection graphs. ...

In this paper some properties of the complement of  a new graph  associated with a commutative ring  are investigated ....

پایان نامه :وزارت علوم، تحقیقات و فناوری - دانشگاه ملایر - دانشکده علوم پایه 1391

فرض کنیمrحلقه ای جابجایی باشد. گراف ایدآل های پوچ کننده ی یکدیگر برای حلق? rرا با نماد(ag(rنمایش داده و بصورت گرافی با مجموعه رئوس*(a(r تعریف میکنیم.دو رأس متمایز در این گراف مجاورند اگر و تنها اگر حاصلضربشان برابر با صفر باشد.بهبودی و راکعی در [ m.behboodi and z.rakeei, the annihilating-ideal graph of commutative ringii, j. algebra apple. 10(4]در مورد گراف ایدآل های پوچ کنند? یکدیگر حدس زدند د...

The rings considered in this article are commutative with identity $1neq 0$. By a proper ideal of a ring $R$,  we mean an ideal $I$ of $R$ such that $Ineq R$.  We say that a proper ideal $I$ of a ring $R$ is a  maximal non-prime ideal if $I$ is not a prime ideal of $R$ but any proper ideal $A$ of $R$ with $ Isubseteq A$ and $Ineq A$ is a prime ideal. That is, among all the proper ideals of $R$,...

Journal: :journal of algebra and related topics 2015
s. visweswaran a. parmar

the rings considered in this article are commutative with identity $1neq 0$. by a proper ideal of a ring $r$,  we mean an ideal $i$ of $r$ such that $ineq r$.  we say that a proper ideal $i$ of a ring $r$ is a  maximal non-prime ideal if $i$ is not a prime ideal of $r$ but any proper ideal $a$ of $r$ with $ isubseteq a$ and $ineq a$ is a prime ideal. that is, among all the proper ideals of $r$,...

Journal: :transactions on combinatorics 0
sanghita dutta north eastern hill university chanlemki lanong north eastern hill university

‎the annihilator graph $ag(r)$ of a commutative ring $r$ is a simple undirected graph with the vertex set $z(r)^*$ and two distinct vertices are adjacent if and only if $ann(x) cup ann(y)$ $ neq $ $ann(xy)$‎. ‎in this paper we give the sufficient condition for a graph $ag(r)$ to be complete‎. ‎we characterize rings for which $ag(r)$ is a regular graph‎, ‎we show that $gamma (ag(r))in {1,2}$ and...

Journal: :journal of algebra and related topics 2014
m. karimi

let $r$ be a commutative ring. in this paper, by using algebraic properties of $r$, we study the hase digraph of prime ideals of $r$.

Let $R$ be a commutative ring with identity and let $M$ be an $R$-module. In this paper we introduce a new graph associated to modules over commutative rings. We study the relationship between the algebraic properties of modules and their associated graphs. A topological characterization for the completeness of the special subgraphs is presented. Also modules whose associated graph is complete...

Let $R$ be a commutative ring. In this paper, by using algebraic properties of $R$, we study the Hase digraph of prime ideals of $R$.

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