Left Zeroid and Right Zeroid Elements of Γ-Semirings
Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2017, Vol 37, Issue 2
Abstract
In this paper we introduce the notion of a left zeroid and a right zeroid of -semirings. We prove that, a left zeroid of a simple -semiring M is regular if and only if M is a regular -semiring.
Authors and Affiliations
M. Murali Krishna Rao, K. R. Kumar
Keywords
Related Articles
- EP ID EP395682
- DOI 10.7151/dmgaa.1275
- Views 59
- Downloads 0
Sublattices corresponding to very true operators in commutative basic algebras
We introduce the concept of very true operator on a commutative basic algebra in a way analogous to that for fuzzy logics. We are motivated by the fact that commutative basic algebras form an algebraic axiomatization of...
ON L-FUZZY MULTIPLICATION MODULES
Let L be a complete lattice. In a manner analogous to a commutative ring, we introduce and investigate the L-fuzzy multiplication modules over a commutative ring with non-zero identity. The basic properties of the prime...
CONRAD’S PARTIAL ORDER ON P.Q.-BAER ∗-RINGS
We prove that a p.q.-Baer ∗-ring forms a pseudo lattice with Conrad’s partial order and also characterize p.q.-Baer ∗-rings which are lattices. The initial segments of a p.q.-Baer ∗-ring with the Conrad’s partial order a...
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...
ON 2-ABSORBING FILTERS OF LATTICES
Let L be a lattice with 1. In this paper we study the concept of 2-absorbing filter which is a generalization of prime filter. A proper filter F of L is called a 2-absorbing filter (resp. a weakly 2-absorbing) if wheneve...