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arXiv · 1902.05406

Eversible and reversible semigroups and semirings

Peyman Nasehpour
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Abstract

The main purpose of this paper is to investigate the zero-divisors of semigroups with zero and semirings and in particular, to discuss eversible and reversible semigroups and semirings. We also introduce a new ring-like algebraic structure called prenearsemiring and generalize Cohn's theorem for reversible rings in this context. Finally, we discuss when expectation semirings are reversible or eversible.

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Peyman Nasehpour. 2019-02-14. Eversible and reversible semigroups and semirings. https://doi.org/10.1142/s1793557121500066

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