Strongly nonfinitely based monoids

We show that the 42 -element monoid of all partial order preserving and extensive injections on the 4 -element chain is not contained in any variety generated by a finitely based finite semigroup.

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Veröffentlicht in:Journal of combinatorial algebra 2024-08
Hauptverfasser: Gusev, Sergey V., Sapir, Olga B., Volkov, Mikhail V.
Format: Artikel
Sprache:eng
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Zusammenfassung:We show that the 42 -element monoid of all partial order preserving and extensive injections on the 4 -element chain is not contained in any variety generated by a finitely based finite semigroup.
ISSN:2415-6302
2415-6310
DOI:10.4171/jca/100