Free profinite semigroups over semidirect products

zbMath0847.20055MaRDI QIDQ1910265

Pascal Weil, Jorge Almeida

Publication date: 21 May 1996

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

semidirect productsCayley graphsword problempseudovarietiespseudoidentitiesfree profinite groupsfree profinite semigroupsprofinite graphsfree profinite monoidsvariety of rational languagesfree objects over profinite spaces of generatorsfree profinite inverse monoidsprofinite alphabets

Mathematics Subject Classification ID

Varieties and pseudovarieties of semigroups (20M07) Free semigroups, generators and relations, word problems (20M05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Quasivarieties and varieties of groups (20E10) Quasivarieties (08C15) Limits, profinite groups (20E18)

Related Items (9)

Strongly locally testable semigroups with commuting idempotents and related languages ⋮ Profinite categories and semidirect products ⋮ A Reiterman theorem for pseudovarieties of finite first-order structures ⋮ Locally countable pseudovarieties ⋮ Substitution Principle and semidirect products ⋮ Free profinite locally idempotent and locally commutative semigroups ⋮ Trees, congruences and varieties of finite semigroups ⋮ On semidirect and two-sided semidirect products of finite $\mathcal {J}$trivial monoids ⋮ Algebraic tools for the concatenation product.

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