We 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
AbstractLet R be a commutative ring with identity and let I be an ideal of R. Let R⋈I be the subring...
In their article “Irreducible Divisor Graphs”, Coykendall and Maney (2007) introduced the idea of ir...
This article surveys the recent and active area of zero-divisor graphs of commutative rings. Notable...
AbstractWe consider zero-divisor graphs of idealizations of commutative rings. Specifically, we look...
Let R be a commutative ring with identity and let M be a prime R-module. Let R(+)M be the idealizati...
AbstractWe consider zero-divisor graphs of idealizations of commutative rings. Specifically, we look...
Abstract. For a commutative ring R, we can form the zero-divisor graph Γ(R) or the ideal-divisor gra...
Abstract. We recall several results of zero divisor graphs of com-mutative rings. We then examine th...
AbstractFor a commutative ring R with zero-divisors Z(R), the zero-divisor graph of R is Γ(R)=Z(R)−{...
Let R be a commutative ring possessing (non-zero) zero-divisors. There is a natural graph associated...
We recall several results of zero divisor graphs of commutative rings. We then examine the preservat...
We seek to classify the sets of zero-divisors that form ideals based on their zero-divisor graphs. W...
In this dissertation, we look at two types of graphs that can be placed on a commutative ring: the z...
This article surveys the recent and active area of zero-divisor graphs of commutative rings. Notable...
This article surveys the recent and active area of zero-divisor graphs of commutative rings. Notable...
AbstractLet R be a commutative ring with identity and let I be an ideal of R. Let R⋈I be the subring...
In their article “Irreducible Divisor Graphs”, Coykendall and Maney (2007) introduced the idea of ir...
This article surveys the recent and active area of zero-divisor graphs of commutative rings. Notable...
AbstractWe consider zero-divisor graphs of idealizations of commutative rings. Specifically, we look...
Let R be a commutative ring with identity and let M be a prime R-module. Let R(+)M be the idealizati...
AbstractWe consider zero-divisor graphs of idealizations of commutative rings. Specifically, we look...
Abstract. For a commutative ring R, we can form the zero-divisor graph Γ(R) or the ideal-divisor gra...
Abstract. We recall several results of zero divisor graphs of com-mutative rings. We then examine th...
AbstractFor a commutative ring R with zero-divisors Z(R), the zero-divisor graph of R is Γ(R)=Z(R)−{...
Let R be a commutative ring possessing (non-zero) zero-divisors. There is a natural graph associated...
We recall several results of zero divisor graphs of commutative rings. We then examine the preservat...
We seek to classify the sets of zero-divisors that form ideals based on their zero-divisor graphs. W...
In this dissertation, we look at two types of graphs that can be placed on a commutative ring: the z...
This article surveys the recent and active area of zero-divisor graphs of commutative rings. Notable...
This article surveys the recent and active area of zero-divisor graphs of commutative rings. Notable...
AbstractLet R be a commutative ring with identity and let I be an ideal of R. Let R⋈I be the subring...
In their article “Irreducible Divisor Graphs”, Coykendall and Maney (2007) introduced the idea of ir...
This article surveys the recent and active area of zero-divisor graphs of commutative rings. Notable...