Identities of the stylic monoid

DOI10.1007/S00233-022-10305-2arXiv2206.09129MaRDI QIDQ6402447

M. V. Volkov

Publication date: 18 June 2022

Abstract: We observe that for each $nge2$, the identities of the stylic monoid with $n$ generators coincide with the identities of $n$-generated monoids from other distinguished series of $mathscrJ$-trivial monoids studied in the literature, e.g., Catalan monoids and Kiselman monoids. This solves the Finite Basis Problem for stylic monoids.

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Varieties and pseudovarieties of semigroups (20M07) Free semigroups, generators and relations, word problems (20M05) Algebraic monoids (20M32)

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