The finite basis problem in the pseudovariety joins of aperiodic semigroups with groups

DOI10.1007/BF02574083zbMath0845.20047OpenAlexW2023711663MaRDI QIDQ1905975

P. G. Trotter, Mikhail V. Volkov

Publication date: 8 February 1996

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/135435

zbMATH Keywords

finite basis problemgroup varietiesfinite \(\mathcal J\)-trivial semigroupsgroup pseudovarietyjoins of semigroup varietiespseudovariety of finite aperiodic semigroups

Mathematics Subject Classification ID

Lattices of varieties (08B15) Varieties and pseudovarieties of semigroups (20M07) Quasivarieties and varieties of groups (20E10) Quasivarieties (08C15)

Related Items (6)

ON HYPERDECIDABLE PSEUDOVARIETIES OF SIMPLE SEMIGROUPS ⋮ PROFINITE METHODS IN SEMIGROUP THEORY ⋮ Free profinite locally idempotent and locally commutative semigroups ⋮ The structure of finite monoids satisfying the relation \(\mathcal R=\mathcal H\). ⋮ Varieties ⋮ PSEUDOVARIETY JOINS INVOLVING ${\mathscr J}$ -TRIVIAL SEMIGROUPS

Cites Work

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• The finite basis property for varieties of semigroups
• Minimal non-permutative pseudovarieties of semigroups. I
• The Birkhoff theorem for finite algebras
• INEVITABLE GRAPHS: A PROOF OF THE TYPE II CONJECTURE AND SOME RELATED DECISION PROCEDURES
• ON A CLASS OF SEMIGROUP PSEUDOVARIETIES WITHOUT FINITE PSEUDOIDENTITY BASIS
• On finite monoids having only trivial subgroups

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