Irreducibility of certain pseudovarieties1

DOI10.1080/00927879808826163zbMath0904.20042OpenAlexW2165066480MaRDI QIDQ4395729

Mark V. Sapir, Stuart W. Margolis, Pascal Weil

Publication date: 23 November 1998

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879808826163

zbMATH Keywords

semidirect productssemigroup pseudovarietiesMal'cev productspseudovariety joinsrelatively free profinite semigroupspseudovarieties of groupsdot-depth hierarchiespro-\(\mathbf V\)-codespro-\(\mathbf V\)-identities

Mathematics Subject Classification ID

Formal languages and automata (68Q45) Lattices of varieties (08B15) Varieties and pseudovarieties of semigroups (20M07) Free semigroups, generators and relations, word problems (20M05) Quasivarieties and varieties of groups (20E10) Quasivarieties (08C15) Prefix, length-variable, comma-free codes (94A45)

Related Items (11)

PROFINITE METHODS IN SEMIGROUP THEORY ⋮ Unnamed Item ⋮ SOLVABLE MONOIDS WITH COMMUTING IDEMPOTENTS ⋮ Presentations of Schützenberger groups of minimal subshifts. ⋮ On the irreducibility of pseudovarieties of semigroups. ⋮ A profinite approach to complete bifix decodings of recurrent languages ⋮ On Using the Join Operation to Define Classes of Algebras ⋮ The \(\mathbf G\)-exponent of a pseudovariety of semigroups ⋮ A geometric interpretation of the Schützenberger group of a minimal subshift ⋮ Representations of relatively free profinite semigroups, irreducibility, and order primitivity ⋮ PROFINITE IDENTITIES FOR FINITE SEMIGROUPS WHOSE SUBGROUPS BELONG TO A GIVEN PSEUDOVARIETY

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• Varieties of groups

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