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SOME CONDITIONS ON NEAR-SEMIRINGS
Keywords:
semiring, near-semiring, idempotent, regular, inverse regularDOI:
https://doi.org/10.17654/0972555522018Abstract
We generalize the concepts of additive zero, multiplicative zero, idempotent, regular and inverse regular from semigroups and semirings to near-semirings, and investigate some algebraic properties of near-semirings satisfying certain identities.
Received: April 6, 2022
Accepted: May 9, 2022
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T. Vasanthi and N. Sulochana, On the additive and multiplicative structure of semirings, Annals of Pure and Applied Mathematics 3 (2013), 78-84.
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