Geodesic
Left zeroid and right zeroid elements of Γ-semirings
Discussiones Mathematicae. General Algebra and Applications, Tome 37 (2017) no. 2, pp. 127-136

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In this paper we introduce the notion of a left zeroid and a right zeroid of Γ-semirings. We prove that, a left zeroid of a simple Γ-semiring M is regular if and only if M is a regular Γ-semiring.
Keywords: left zeroid, right zeroid, idempotent, Γ-semiring, division Γ-semiring 
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Marapureddy, Murali Krishna Rao; Kumar, K.R. Left zeroid and right zeroid elements of Γ-semirings. Discussiones Mathematicae. General Algebra and Applications, Tome 37 (2017) no. 2, pp. 127-136. http://geodesic.mathdoc.fr/item/DMGAA_2017_37_2_a1/