Semiring identities of the semigroup $B_0$

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发表日期：

2024年11月4日

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Vyacheslav Yu. Shaprynskiǐ

摘要

The semigroup $B_0$ $B_{0}$ is the only 4-element subsemigroup of the 5-element Brandt semigroup $B_2$ $B_{2}$ , up to isomorphism. Being an inverse semigroup, the semigroup $B_2$ $B_{2}$ can naturally be considered an additively idempotent semiring and $B_0$ $B_{0}$ is its subsemiring. We show that the semiring $B_0$ $B_{0}$ has a finite basis of identities.

Semiring identities of the semigroup \(B_0\)

摘要