Strongly nonfinitely based monoids

Sergey V. Gusev; Olga B. Sapir; Mikhail V. Volkov

doi:10.4171/jca/100

JournalsjcaVol. 9, No. 1/2pp. 129–144

Strongly nonfinitely based monoids

Sergey V. Gusev
Ural Federal University, Yekaterinburg, Russia
Olga B. Sapir
Ben-Gurion University of the Negev, Beersheba, Israel
Mikhail V. Volkov
Ural Federal University, Yekaterinburg, Russia

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Abstract

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.

Cite this article

Sergey V. Gusev, Olga B. Sapir, Mikhail V. Volkov, Strongly nonfinitely based monoids. J. Comb. Algebra 9 (2025), no. 1/2, pp. 129–144

DOI 10.4171/JCA/100