Identities in Brandt semigroups, revisited

Mikhail V. Volkov

Ural mathematical journal, Tome 5 (2019) no. 2, pp. 80-93

Résumé

We present a new proof for the main claim made in the author’s paper “On the identity bases of Brandt semigroups” (Ural. Gos. Univ. Mat. Zap., 14, no.1 (1985), 38-42); this claim provides an identity basis for an arbitrary Brandt semigroup over a group of finite exponent. We also show how to fill a gap in the original proof of the claim in loc. cit.

Détail

Keywords: Brandt semigroup, Semigroup identity, Identity basis, Finite basis problem.

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