Finite aperiodic semigroups with commuting idempotents and generalizations

DOI10.1007/BF02773226zbMath0959.20051MaRDI QIDQ1976622

Stuart W. Margolis, Peter M. Higgins

Publication date: 19 September 2000

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

idempotentsgroupssemidirect productsfinite semigroupsinverse semigroupssemigroups of partial bijectionspseudovarietiesMal'cev productsfinite aperiodic semigroups

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Varieties and pseudovarieties of semigroups (20M07) Free semigroups, generators and relations, word problems (20M05) Semigroups in automata theory, linguistics, etc. (20M35)

Related Items (8)

SOLVABLE MONOIDS WITH COMMUTING IDEMPOTENTS ⋮ The rank of variants of nilpotent pseudovarieties ⋮ Locally countable pseudovarieties ⋮ The finite basis problem for quasivarieties and pseudovarieties generated by regular semigroups. I: Quasivarieties generated by regular semigroups. ⋮ An upper bound for the power pseudovariety \(\mathbf{PCS}\). ⋮ On semidirectly closed non-aperiodic pseudovarieties of finite monoids ⋮ ON SEMIGROUPS WHOSE IDEMPOTENT-GENERATED SUBSEMIGROUP IS APERIODIC ⋮ On $$\omega $$-Identities over Finite Aperiodic Semigroups with Commuting Idempotents

Cites Work

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• The varieties of n-testable semigroups
• The synthesis theorem for finite regular semigroups, and its generalization
• Decomposition techniques for finite semigroups, using categories. I
• Semigroups whose idempotents form a subsemigroup

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