Výsledky vyhledávání - "Sapir, Olga B."

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Autor: Gusev, Sergey V., Sapir, Olga B., Volkov, Mikhail V.

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.
Comment: 12 pages. In version 2: the proofs of two

Externí odkaz: http://arxiv.org/abs/2301.12426

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Catalan monoids inherently nonfinitely based relative to finite $\mathcal{R}$-trivial semigroups

Autor: Sapir, Olga B., Volkov, Mikhail V.

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 $\mathcal{R}$-trivial semigroup. This provides unified proofs for

Externí odkaz: http://arxiv.org/abs/2211.12952

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Limit varieties generated by finite non-J-trivial aperiodic monoids

Autor: Sapir, Olga B.

Jackson and Lee proved that certain six-element monoid generates a hereditarily finitely based variety $\mathbb E^1$ whose lattice of subvarieties contains an infinite ascending chain. We identify syntactic monoids which generate finitely generated s

Externí odkaz: http://arxiv.org/abs/2012.13598

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Limit varieties of $J$-trivial monoids

Autor: Sapir, Olga B.

We show that limit varieties of monoids recently discovered by Gusev, Zhang and Luo and their subvarieties are generated by monoids of the form $M_\tau(W)$ for certain congruences $\tau$ on the free monoid. The construction $M_\tau(W)$ is a generaliz

Externí odkaz: http://arxiv.org/abs/2003.09950

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