AbstractWe consider zero-divisor graphs of idealizations of commutative rings. Specifically, we look at the preservation, or lack thereof, of the diameter and girth of the zero-divisor graph of a ring when extending to idealizations of the ring
In this paper we initiate the study of the total zero-divisor graphs over commutative rings with uni...
Let R be a commutative ring with nonzero identity and I an ideal of R. The focus of this research is...
AbstractFor each commutative ring R we associate a (simple) graph Γ(R). We investigate the interplay...
We consider zero-divisor graphs of idealizations of commutative rings. Specifically, we look at the ...
AbstractWe consider zero-divisor graphs of idealizations of commutative rings. Specifically, we look...
AbstractFor a commutative ring R with zero-divisors Z(R), the zero-divisor graph of R is Γ(R)=Z(R)−{...
AbstractLet R be a commutative ring with identity and let I be an ideal of R. Let R⋈I be the subring...
Let R be a commutative ring possessing (non-zero) zero-divisors. There is a natural graph associated...
AbstractFor a commutative ring R with zero-divisors Z(R), the zero-divisor graph of R is Γ(R)=Z(R)−{...
In this paper, we examine the algebraic properties of localizations of commutative rings and how lo...
In this paper, we examine the algebraic properties of localizations of commutative rings and how lo...
Abstract. We recall several results of zero divisor graphs of com-mutative rings. We then examine th...
Let R be a commutative ring with identity and let M be a prime R-module. Let R(+)M be the idealizati...
Let R be a commutative ring with 1, and let Z(R) denote the set of zerodivisors of R. We define an ...
AbstractIn this article, all graphs on n=6,7,…,14 vertices which can be realized as the zero-divisor...
In this paper we initiate the study of the total zero-divisor graphs over commutative rings with uni...
Let R be a commutative ring with nonzero identity and I an ideal of R. The focus of this research is...
AbstractFor each commutative ring R we associate a (simple) graph Γ(R). We investigate the interplay...
We consider zero-divisor graphs of idealizations of commutative rings. Specifically, we look at the ...
AbstractWe consider zero-divisor graphs of idealizations of commutative rings. Specifically, we look...
AbstractFor a commutative ring R with zero-divisors Z(R), the zero-divisor graph of R is Γ(R)=Z(R)−{...
AbstractLet R be a commutative ring with identity and let I be an ideal of R. Let R⋈I be the subring...
Let R be a commutative ring possessing (non-zero) zero-divisors. There is a natural graph associated...
AbstractFor a commutative ring R with zero-divisors Z(R), the zero-divisor graph of R is Γ(R)=Z(R)−{...
In this paper, we examine the algebraic properties of localizations of commutative rings and how lo...
In this paper, we examine the algebraic properties of localizations of commutative rings and how lo...
Abstract. We recall several results of zero divisor graphs of com-mutative rings. We then examine th...
Let R be a commutative ring with identity and let M be a prime R-module. Let R(+)M be the idealizati...
Let R be a commutative ring with 1, and let Z(R) denote the set of zerodivisors of R. We define an ...
AbstractIn this article, all graphs on n=6,7,…,14 vertices which can be realized as the zero-divisor...
In this paper we initiate the study of the total zero-divisor graphs over commutative rings with uni...
Let R be a commutative ring with nonzero identity and I an ideal of R. The focus of this research is...
AbstractFor each commutative ring R we associate a (simple) graph Γ(R). We investigate the interplay...