**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)**

#### Author = A.R. Naghipour

Number of Articles: 5

##### ZERO-DIVISOR GRAPH OF THE RINGS OF REAL MEASURABLE FUNCTIONS WITH THE MEASURES

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

#####
**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 ...
Read More
##### ON THE REFINEMENT OF THE UNIT AND UNITARY CAYLEY GRAPHS OF RINGS

*Volume 7, Issue 1 , September 2019, , Pages 51-68*

#####
**Abstract **

Let $R$ be a ring (not necessarily commutative) with nonzero identity. We define $\Gamma(R)$ to be the graph with vertex set $R$ in which two distinct vertices $x$ and $y$ are adjacent if and only if there exist unit elements $u,v$ of $R$ such that $x+uyv$ is a unit of $R$. In this paper, basic properties ...
Read More
##### THE ZERO-DIVISOR GRAPH OF A MODULE

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

#####
**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 ...
Read More
##### GENERALIZED PRINCIPAL IDEAL THEOREM FOR MODULES

*Volume 3, Issue 1 , September 2015, , Pages 23-30*

#####
**Abstract **

The Generalized Principal Ideal Theorem is one of the cornerstones of dimension theory for Noetherian rings. For an R-module M, we identify certain submodules of M that play a role analogous to that of prime ideals in the ring R. Using this definition, we extend the Generalized Principal Ideal Theorem ...
Read More
##### SOME RESULTS ON STRONGLY PRIME SUBMODULES

*Volume 1, Issue 2 , January 2014, , Pages 79-89*