Abstract:
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.
This work was supported by the Russian Foundation for Basic Research, project no. 17-01-00551, the Ministry of Science and Higher Education of the Russian Federation, project no. 1.580.2016, and the Competitiveness Program of Ural Federal University.
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Document Type:
Article
Language: English
Citation:
Mikhail V. Volkov, “Identities in Brandt semigroups, revisited”, Ural Math. J., 5:2 (2019), 80–93