AbstractLet R be a commutative ring with identity and let I be an ideal of R. Let R⋈I be the subring of R×R consisting of the elements (r,r+i) for r∈R and i∈I. We study the diameter and girth of the zero-divisor graph of the ring R⋈I
Various graphs associated with a commutative (non commutative) ring are presented. This presentation...
AbstractWe consider zero-divisor graphs of idealizations of commutative rings. Specifically, we look...
We consider zero-divisor graphs of idealizations of commutative rings. Specifically, we look at the ...
AbstractLet R be a commutative ring with identity and let I be an ideal of R. Let R⋈I be the subring...
AbstractWe consider zero-divisor graphs of idealizations of commutative rings. Specifically, we look...
Let $f\colon A\rightarrow B$ be a homomorphism of commutative rings and let $J$ be an ideal of $B$. ...
Let R be a commutative ring with 1, and let Z(R) denote the set of zerodivisors of R. We define an ...
AbstractLet R be a commutative ring with Nil(R) its ideal of nilpotent elements, Z(R) its set of zer...
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 let I be an ideal of R. The zero-divisor graph...
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...
AbstractFor a commutative ring R with zero-divisors Z(R), the zero-divisor graph of R is Γ(R)=Z(R)−{...
AbstractFor a commutative ring R with zero-divisors Z(R), the zero-divisor graph of R is Γ(R)=Z(R)−{...
There is a natural graph associated to the zero-divisors of a commutative semiring with non-zero ide...
Various graphs associated with a commutative (non commutative) ring are presented. This presentation...
AbstractWe consider zero-divisor graphs of idealizations of commutative rings. Specifically, we look...
We consider zero-divisor graphs of idealizations of commutative rings. Specifically, we look at the ...
AbstractLet R be a commutative ring with identity and let I be an ideal of R. Let R⋈I be the subring...
AbstractWe consider zero-divisor graphs of idealizations of commutative rings. Specifically, we look...
Let $f\colon A\rightarrow B$ be a homomorphism of commutative rings and let $J$ be an ideal of $B$. ...
Let R be a commutative ring with 1, and let Z(R) denote the set of zerodivisors of R. We define an ...
AbstractLet R be a commutative ring with Nil(R) its ideal of nilpotent elements, Z(R) its set of zer...
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 let I be an ideal of R. The zero-divisor graph...
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...
AbstractFor a commutative ring R with zero-divisors Z(R), the zero-divisor graph of R is Γ(R)=Z(R)−{...
AbstractFor a commutative ring R with zero-divisors Z(R), the zero-divisor graph of R is Γ(R)=Z(R)−{...
There is a natural graph associated to the zero-divisors of a commutative semiring with non-zero ide...
Various graphs associated with a commutative (non commutative) ring are presented. This presentation...
AbstractWe consider zero-divisor graphs of idealizations of commutative rings. Specifically, we look...
We consider zero-divisor graphs of idealizations of commutative rings. Specifically, we look at the ...
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