Some characterizations of 2-primal ideals of a Γ-semiring
Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2014, Vol 34, Issue 1
Abstract
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, 2-primal Γ-semiring, 2-primal ideal, IFP (insertion of factor property), completely prime ideal, completely semiprime ideal. 2010 Mathematics Subject Classification: 16Y60, 16Y99.
Authors and Affiliations
Tapan Dutta, Suhrid Dhara
QUASIORDER LATTICES ARE FIVE-GENERATED
transitive relation. The quasiorders on a set A form a complete lattice with respect to set inclusion. Assume that A is a set such that there is no inaccessible cardinal less than or equal to |A|; note that in Kuratowski...
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,...
A SHORT NOTE ON LCBA—FUZZY LOGIC WITH A NON-ASSOCIATIVE CONJUNCTION
We significantly simplify the axiomatic system LCBA for fuzzy logic with a non-associative conjunction.
GENERALIZED PELL EQUATIONS FOR 2 × 2 MATRICES
In this paper we consider the solutions of the generalized matrix Pell equations X^2 − dY^2 = cI, where X and Y are 2 × 2 matrices over Z, d is a non-zero (positive or negative) square-free integer, c is an arbitrary int...
THE ARMENDARIZ GRAPH OF A RING
In this paper we initiate the study of Armendariz graph of a commutative ring R and investigate the basic properties of this graph such as diameter, girth, domination number, etc. The Armendariz graph of a ring R, denote...