On the intersection graphs of ideals of direct product of rings
Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2014, Vol 34, Issue 2
Abstract
In this paper we first calculate the number of vertices and edges of the intersection graph of ideals of direct product of rings and fields. Then we study Eulerianity and Hamiltonicity in the intersection graph of ideals of direct product of commutative rings. Keywords: ideal, direct sum, intersection graph, Eulerian, Hamiltonian. 2010 Mathematics Subject Classification: 16D25, 16D70, 05C75, 05C62.
Authors and Affiliations
Shamik Ghosh, Nader Rad, Sayyed Jafari
Keywords
Related Articles
- EP ID EP166433
- DOI -
- Views 57
- Downloads 0
Bi-Interior Ideals of Semigroups
In this paper, as a further generalization of ideals, we introduce the notion of bi-interior ideal as a generalization of quasi ideal, bi-ideal and interior ideal of semigroup and study the properties of bi-interior idea...
Trace inequalities for positive semidefinite matrices
Certain trace inequalities for positive definite matrices are generalized for positive semidefinite matrices using the notion of the group generalized inverse.
AGGREGATING FUZZY BINARY RELATIONS AND FUZZY FILTERS
The main goal of this paper is to investigate the aggregation of diverse families of binary fuzzy relations, fuzzy filters, and fuzzy lattices. Some links between these families and their images via an aggregation are ex...
CUBIC GENERALIZED BI-IDEALS IN SEMIGROUPS
In this paper, the concept of a cubic generalized bi-ideal in a semigroup is introduced, which is a generalization of the concept of a fuzzy generalized bi-ideal and interval-valued fuzzy generalized bi-ideal. Using this...
A VARIATION OF ZERO-DIVISOR GRAPHS
In this paper, we define a new graph for a ring with unity by extending the definition of the usual ‘zero-divisor graph’. For a ring R with unity, Γ1(R) is defined to be the simple undirected graph having all non-zero el...