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
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