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arXiv · 2305.17466

Semiring identities in the semigroup $B_0$

Vyacheslav Yu. Shaprynskiǐ
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Abstract

The semigroup $B_0$ is the only, up to isomorphism, 4-element subsemigroup of the 5-element Brandt semigroup $B_2$. Being an inverse semigroup, the semigroup $B_2$ can naturally be considered an additively idempotent semiring and $B_0$ is its subsemiring. We show that the semiring $B_0$ has a finite basis of identities.

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Vyacheslav Yu. Shaprynskiǐ. 2023-05-27. Semiring identities in the semigroup $B_0$. https://arxiv.org/abs/2305.17466

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