The directed graph of a ring is a graphical representation of its additive and multiplicative structure. Using the directed edge relationship (a,b) → (a+b,a ⋅ b), one can create a directed graph for every ring. This paper focuses on the structure of the sources in directed graphs of commutative rings with identity, with special concentration in the finite and reduced cases
Abstract. In this paper, we discuss some recent results on graphs attached to rings. In particular, ...
Let R be a commutative ring with nonzero identity and I an ideal of R. The focus of this research is...
Let R be a commutative ring with nonzero identity, and let Z (R) be the set of its zerodivisors. The...
The directed graph of a commutative ring is a graph representation of its additive and multiplicativ...
Abstract: A commutative rings’ additive and multiplicative structure can be represented with a direc...
In this dissertation, we look at two types of graphs that can be placed on a commutative ring: the z...
In this thesis, we investigate the properties of some graphs associated with finite rings, namely th...
AbstractFor an artinian ring R, the directed zero-divisor graph Γ(R) is connected if and only if the...
To gain a better understanding of clean rings and their relatives, the clean graph of a commutative ...
Let R be a commutative ring with nonzero identity. For an arbitrary multiplicatively closed subset S...
Various graphs associated with a commutative (non commutative) ring are presented. This presentation...
R is a commutative ring with unity. The associate ring graph AG(R) is the graph with the vertex set ...
M.Sc.This thesis is concerned with one possible interplay between commutative algebra and graph theo...
In this paper we introduce a new kind of graph associated with a commutative ring with identity, and...
We explore generalizations and variations of the zero-divisor graph on commutative rings with identi...
Abstract. In this paper, we discuss some recent results on graphs attached to rings. In particular, ...
Let R be a commutative ring with nonzero identity and I an ideal of R. The focus of this research is...
Let R be a commutative ring with nonzero identity, and let Z (R) be the set of its zerodivisors. The...
The directed graph of a commutative ring is a graph representation of its additive and multiplicativ...
Abstract: A commutative rings’ additive and multiplicative structure can be represented with a direc...
In this dissertation, we look at two types of graphs that can be placed on a commutative ring: the z...
In this thesis, we investigate the properties of some graphs associated with finite rings, namely th...
AbstractFor an artinian ring R, the directed zero-divisor graph Γ(R) is connected if and only if the...
To gain a better understanding of clean rings and their relatives, the clean graph of a commutative ...
Let R be a commutative ring with nonzero identity. For an arbitrary multiplicatively closed subset S...
Various graphs associated with a commutative (non commutative) ring are presented. This presentation...
R is a commutative ring with unity. The associate ring graph AG(R) is the graph with the vertex set ...
M.Sc.This thesis is concerned with one possible interplay between commutative algebra and graph theo...
In this paper we introduce a new kind of graph associated with a commutative ring with identity, and...
We explore generalizations and variations of the zero-divisor graph on commutative rings with identi...
Abstract. In this paper, we discuss some recent results on graphs attached to rings. In particular, ...
Let R be a commutative ring with nonzero identity and I an ideal of R. The focus of this research is...
Let R be a commutative ring with nonzero identity, and let Z (R) be the set of its zerodivisors. The...