A sufficient condition for the non-finite basis property of semigroups.

DOI10.1007/s00605-011-0341-1zbMath1292.20065OpenAlexW2023165224MaRDI QIDQ691030

Edmond W. H. Lee

Publication date: 29 November 2012

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-011-0341-1

zbMATH Keywords

semigroupssemigroup varietiesbases of identitiesfinite basis propertyfinite basis problemsemigroup identitiesnon-finitely based semigroups

Mathematics Subject Classification ID

Varieties and pseudovarieties of semigroups (20M07) Free semigroups, generators and relations, word problems (20M05) Equational logic, Mal'tsev conditions (08B05)

Related Items (9)

On the finite basis problem for the monoids of partial extensive injective transformations. ⋮ THE FINITE BASIS PROBLEM FOR THE MONOID OF TWO-BY-TWO UPPER TRIANGULAR TROPICAL MATRICES ⋮ On join irreducible \(J\)-trivial semigroups ⋮ Existence of a new limit variety of aperiodic monoids ⋮ LEE MONOIDS ARE NONFINITELY BASED WHILE THE SETS OF THEIR ISOTERMS ARE FINITELY BASED ⋮ Limit varieties of \(J\)-trivial monoids ⋮ Non-finitely based monoids. ⋮ A SUFFICIENT CONDITION UNDER WHICH A SEMIGROUP IS NONFINITELY BASED ⋮ Finitely based finite involution semigroups with non-finitely based reducts

Cites Work

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• A NEW EXAMPLE OF A MINIMAL NONFINITELY BASED SEMIGROUP
• Relatively inherently nonfinitely q-based semigroups
• PROBLEMS OF BURNSIDE TYPE AND THE FINITE BASIS PROPERTY IN VARIETIES OF SEMIGROUPS

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