The free algebra in the variety generated by quasi-trivial semigroups

DOI10.1007/BF02572677zbMath0441.20038MaRDI QIDQ1142865

Helmut Länger

Publication date: 1980

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

Full work available at URL: https://eudml.org/doc/134411

zbMATH Keywords

idempotent semigroupsfree semigroup in a varietyidempotent varietiesquasi-trivial semigroups

Mathematics Subject Classification ID

Varieties and pseudovarieties of semigroups (20M07) Free semigroups, generators and relations, word problems (20M05)

Related Items (8)

Classifications of quasitrivial semigroups ⋮ Associative, idempotent, symmetric, and order-preserving operations on chains ⋮ Quasitrivial semigroups: characterizations and enumerations ⋮ Bisymmetric and quasitrivial operations: characterizations and enumerations ⋮ The free algebra in the subvarieties of the variety of regular bands ⋮ Every quasitrivial \(n\)-ary semigroup is reducible to a semigroup ⋮ On the structure of symmetric n-ary bands ⋮ Reducibility of \(n\)-ary semigroups: from quasitriviality towards idempotency

Cites Work

• Unnamed Item
• A characterization of a free elementary inverse semigroup
• A Homomorphism Theorem for Semigroups
• Free Inverse Semigroups
• The free completely regular semigroup on a set

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