Wreath products of acts over monoids. I: Regular and inverse acts

DOI10.1016/0022-4049(88)90064-3zbMath0647.20070OpenAlexW1981593310MaRDI QIDQ1104428

Ulrich Knauer, Alexander V. Mikhalev

Publication date: 1988

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(88)90064-3

zbMATH Keywords

regular elementsfree S-actleft R-actwreath product of monoids

Mathematics Subject Classification ID

Semigroups in automata theory, linguistics, etc. (20M35) Connections of semigroups with homological algebra and category theory (20M50) Representation of semigroups; actions of semigroups on sets (20M30)

Related Items (8)

Characterization of monoids by condition (P) of cyclic left acts ⋮ On a Question of Kilp and Knauer ⋮ Characterization of monoids by properties of regular acts ⋮ Monoids over which all regular left acts are flat ⋮ Wreath products of acts over monoids. II: Torsion free and divisible acts ⋮ Monoids over which all flat left acts are regular ⋮ Divisible, torsion-free, and act regular generalized act wreath products ⋮ Generators and presentations for direct and wreath products of monoid acts

Cites Work

• Unnamed Item
• Characterizations of monoids by regular acts
• Characterization of monoids by properties of regular acts
• Regularity of the wreath product of monoids
• Endomorphism monoids of free acts and O-wreath products of monoids. II. Regularity
• Parallel concepts in graph theory
• Projectivity of acts and Morita equivalence of monoids
• Endomorphism monoids of acts over monoids
• Unretractive and S-unretractive joins and lexicographic products of graphs
• Abundant Semigroups

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