**Volume 11 (2023-2024)**

**Volume 10 (2022-2023)**

**Volume 9 (2021-2022)**

**Volume 8 (2020-2021)**

**Volume 7 (2019-2020)**

**Volume 6 (2018-2019)**

**Volume 5 (2017-2018)**

**Volume 4 (2016-2017)**

**Volume 3 (2015-2016)**

**Volume 2 (2014-2015)**

**Volume 1 (2013-2014)**

#### Keywords = zero-divisor graph

Number of Articles: 4

##### STRUCTURE OF ZERO-DIVISOR GRAPHS ASSOCIATED TO RING OF INTEGER MODULO n

*Volume 11, Issue 1 , September 2023, , Pages 1-14*

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**Abstract **

For a commutative ring $R$ with identity $1\neq 0$, let $Z^{*}(R)=Z(R)\setminus \lbrace 0\rbrace$ be the set of non-zero zero-divisors of $R$, where $Z(R)$ is the set of all zero-divisors of $R$. The zero-divisor graph of $R$, denoted by $\Gamma(R)$, is a simple graph whose vertex set is $Z^{*}(R)=Z(R)\setminus ...
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##### ZERO-DIVISOR GRAPH OF THE RINGS OF REAL MEASURABLE FUNCTIONS WITH THE MEASURES

*Volume 9, Issue 2 , January 2022, , Pages 175-192*

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**Abstract **

Let $M(X, \mathcal{A}, \mu)$ be the ring of real-valued measurable functionson a measurable space $(X, \mathcal{A})$ with measure $\mu$.In this paper, we study the zero-divisor graph of $M(X, \mathcal{A}, \mu)$,denoted by $\Gamma(M(X, \mathcal{A}, \mu))$.We give the relationships among graph properties ...
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##### THE ZERO-DIVISOR GRAPH OF A MODULE

*Volume 4, Issue 2 , January 2017, , Pages 155-171*

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**Abstract **

Let R be a commutative ring with identity and M an R-module. In this paper, we associate a graph to M, sayΓ(RM), such that when M=R, Γ(RM) coincide with the zero-divisor graph of R. Many well-known results by D.F. Anderson and P.S. Livingston have been generalized for ...
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##### ANNIHILATING SUBMODULE GRAPHS FOR MODULES OVER COMMUTATIVE RINGS

*Volume 3, Issue 1 , September 2015, , Pages 39-47*