Identities of the stylic monoid

preprint2022arXivOpen access

Abstract

We observe that for each n≥2n\ge 2, the identities of the stylic monoid with nn generators coincide with the identities of nn-generated monoids from other distinguished series of J\mathscr{J}-trivial monoids studied in the literature, e.g., Catalan monoids and Kiselman monoids. This solves the Finite Basis Problem for stylic monoids.

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