Characterizations of monoids by regular acts

DOI10.1007/BF01848077zbMath0586.20032OpenAlexW2022121328MaRDI QIDQ1071874

Trân Lâm Hách

Publication date: 1985

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01848077

zbMATH Keywords

projective actscancellative monoidsvon Neumann regularregular actsS-actstrongly faithful acts

Mathematics Subject Classification ID

Algebraic theory of languages and automata (68Q70) Connections of semigroups with homological algebra and category theory (20M50) Representation of semigroups; actions of semigroups on sets (20M30)

Related Items (13)

MONOIDS OVER WHICH ALL REGULAR RIGHT S-ACTS ARE WEAKLY INJECTIVE ⋮ Characterization of monoids by properties of regular acts ⋮ Monoids over which all regular left acts are flat ⋮ Wreath products of acts over monoids. I: Regular and inverse acts ⋮ Monoids over which all flat left acts are regular ⋮ Complete classes of regular polygons with finitely many idempotents ⋮ On regularity and intra regularity of the components of a Morita context of monoids ⋮ Monoids over which all strongly flat left acts are regular ⋮ Divisible, torsion-free, and act regular generalized act wreath products ⋮ INDECOMPOSABLE, PROJECTIVE, AND FLATS-POSETS ⋮ On strongly (P)-cyclic acts ⋮ MONOIDS OVER WHICH ALL STRONGLY (P)-CYCLIC ACTS ARE WEAKLY INJECTIVE ⋮ A monoid over which the class of regular polygons is complete is not model complete.

Cites Work

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• Wreath products of acts over monoids. II: Torsion free and divisible acts
• Projectivity of acts and Morita equivalence of monoids
• Some Applications of the Wreath Product Construction
• Regular Modules

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