The structure of finite monoids satisfying the relation \(\mathcal R=\mathcal H\).

DOI10.1134/S0081543814090132zbMath1316.20067OpenAlexW2026682235MaRDI QIDQ2514861

T. V. Pervukhina

Publication date: 4 February 2015

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543814090132

zbMATH Keywords

semidirect productsGreen relationspseudovarieties of finite monoidsrow-monomial matrices

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Varieties and pseudovarieties of semigroups (20M07) Algebraic theory of languages and automata (68Q70) Semigroups in automata theory, linguistics, etc. (20M35)

Related Items (2)

Characterization of the pseudovariety generated by finite monoids satisfying \(\mathcal R=\mathcal H\). ⋮ On the pseudovariety generated by all finite monoids satisfying \(\mathcal R=\mathcal H\).

Cites Work

• Categories as algebra: An essential ingredient in the theory of monoids
• On finite \(\mathcal J\)-trivial monoids
• Regular semigroups with D=R as syntactic monoids of prefix codes
• The finite basis problem in the pseudovariety joins of aperiodic semigroups with groups
• \(\mathcal D\)-compatible semigroup varieties.
• On finite monoids having only trivial subgroups
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