ON Γ-SEMIRING WITH IDENTITY
Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2017, Vol 37, Issue 2
Abstract
In this paper we study the properties of structures of the semigroup (M, +) and the Γ-semigroup M of Γ-semiring M and regular Γ-semiring M satisfying the identity a + aαb = a or aαb + a = a or a + aαb + b = a or a + 1 = 1, for all a ∈ M, α ∈ Γ. We also study the properties of Γ-semiring with unity 1 which is also an additive identity. Keywords: Γ-semigroup, Γ-semiring, regular Γ-semiring. 2010 Mathematics Subject Classification: 20M10, 16Y60.
Authors and Affiliations
Marapureddy Murali Krishna Rao
Keywords
Related Articles
- EP ID EP304575
- DOI -
- Views 55
- Downloads 0
Ideals in Ordered Γ-Semirings
In this paper, we introduce the notion of k-ideal, m−k ideal, prime ideal, maximal ideal, filter, irreducible ideal, strongly irreducible ideal in ordered Γ-semirings, study the properties of ideals in ordered Γ-semiring...
Filters of lattices with respect to a congruence
Some properties of filters on a lattice L are studied with respect to a congruence on L. The notion of a θ-filter of L is introduced and these filters are then characterized in terms of classes of θ. For distributive L,...
QUADRATIC APPROXIMATION OF GENERALIZED TRIBONACCI SEQUENCES
In this paper, we give quadratic approximation of generalized Tribonacci sequence {Vn}n≥0 defined by Vn = rVn−1 + sVn−2 + tVn−3 (n ≥ 3) and use this result to give the matrix form of the n-th power of a companion matrix...
On balanced order relations and the normal hull of completely simple semirings
In [1] the authors proved that a semiring S is a completely simple semiring if and only if S is isomorphic to a Rees matrix semiring over a skew-ring R with sandwich matrix P and index sets I and Λ which are bands under...
WEAK-HYPERLATTICES DERIVED FROM FUZZY CONGRUENCES
In this paper we explore the connections between fuzzy congruence relations, fuzzy ideals and homomorphisms of hyperlattices. Indeed, we introduce the concept of fuzzy quotient set of hyperlattices as it was done in the...