Characterization of monoids by properties of regular acts

DOI10.1016/0022-4049(87)90094-6zbMath0619.20048OpenAlexW1967249101MaRDI QIDQ1089441

Mati Kilp, Ulrich Knauer

Publication date: 1987

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(87)90094-6

zbMATH Keywords

injectiveprojectivefree actsprojective generatorsregular left actscategory of left actscyclic subactsdivisible actshomological classification of monoidsinjective generators

Mathematics Subject Classification ID

Connections of semigroups with homological algebra and category theory (20M50) Representation of semigroups; actions of semigroups on sets (20M30)

Related Items

Characterization of monoids by condition (P) of cyclic left acts, On a Question of Kilp and Knauer, MONOIDS OVER WHICH ALL REGULAR RIGHT S-ACTS ARE WEAKLY INJECTIVE, Monoids over which all regular left acts are flat, Wreath products of acts over monoids. I: Regular and inverse acts, Characterization of monoids by properties of generators, Monoids over which every flat right act satisfies condition (P), Wreath products of acts over monoids. II: Torsion free and divisible acts, Monoids over which all flat left acts are regular, Universal algebras, 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, MONOIDS OVER WHICH ALL STRONGLY (P)-CYCLIC ACTS ARE WEAKLY INJECTIVE

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Characterizations of monoids by regular acts
• On free, projective, and strongly flat acts
• Wreath products of acts over monoids. I: Regular and inverse acts
• Characterization of monoids by torsion-free, flat, projective, and free acts
• Right PP monoids with central idempotents
• Projectivity of acts and Morita equivalence of monoids
• Commutative monoids all of whose principal ideals are projective
• Perfect semigroups
• The Injective Envelope of S-Sets
• Indecomposable and Injective S‐systems with Zero
• Flatness and localization over monoids
• Endomorphism Rings of Projective Modules
• Regular Modules
• Regular Modules
• On homological classification of monoids