ON PERFECTNESS OF INTERSECTION GRAPH OF IDEALS OF Zn
Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2017, Vol 37, Issue 2
Abstract
In this short paper, we characterize the positive integers n for which intersection graph of ideals of Zn is perfect.
Authors and Affiliations
Angsuman Das
Keywords
Related Articles
- EP ID EP304553
- DOI -
- Views 34
- Downloads 0
Congruences and Trajectories in Planar Semimodular Lattices
A 1955 result of J. Jakub´ık states that for the prime intervals p and q of a finite lattice, con(p) ≥ con(q) iff p is congruence-projective to q (via intervals of arbitrary size). The problem is how to determine whether...
On Perfectness of Intersection Graph of Ideals of ℤn
In this short paper, we characterize the positive integers n for which intersection graph of ideals of Zn is perfect.
ON THE SUBSEMIGROUP GENERATED BY ORDERED IDEMPOTENTS OF A REGULAR SEMIGROUP
An element e of an ordered semigroup S is called an ordered idempotent if e ≤ e^2. Here we characterize the subsemigroup < E≤(S) > generated by the set of all ordered idempotents of a regular ordered semigroup S. If S is...
ON THE SECOND SPECTRUM OF LATTICE MODULES
The second spectrum Specs(M) is the collection of all second elements of M. In this paper, we study the topology on Specs(M), which is a generalization of the Zariski topology on the prime spectrum of lattice modules. Be...
Some characterizations of 2-primal ideals of a Γ-semiring
This paper is a continuation of our previous paper entitled “On 2-primal Γ-semirings”. In this paper we have introduced the notion of 2-primal ideal in Γ-semiring and studied it. Keywords: Γ-semiring, nilpotent element,...