Abstract: 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.
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Keywords and phrases: semiring, near-semiring, idempotent, regular, inverse regular.
Received: April 6, 2022; Accepted: May 9, 2022; Published: May 13, 2022
How to cite this article: Utsanee Leerawat and Benya Setthanarak, Some conditions on near-semirings, JP Journal of Algebra, Number Theory and Applications 55 (2022), 37-51. http://dx.doi.org/10.17654/0972555522018
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
References:
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