Geodesic
On Γ-semiring with identity
Discussiones Mathematicae. General Algebra and Applications, Tome 37 (2017) no. 2, pp. 189-207

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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 
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Marapureddy, Murali Krishna Rao. On Γ-semiring with identity. Discussiones Mathematicae. General Algebra and Applications, Tome 37 (2017) no. 2, pp. 189-207. http://geodesic.mathdoc.fr/item/DMGAA_2017_37_2_a6/