Perfect monoids revisited

DOI10.1007/BF02574138zbMath0865.20053MaRDI QIDQ1924521

Mati Kilp

Publication date: 16 July 1997

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

Full work available at URL: https://eudml.org/doc/135487

zbMATH Keywords

projective coversascending chain conditionprojective generatorscyclic subactscollapsible submonoidsstrongly flat right acts

Mathematics Subject Classification ID

Connections of semigroups with homological algebra and category theory (20M50)

Related Items (10)

Perfect monoids with zero and categories of S-acts ⋮ Perfection for semigroups ⋮ On strongly flat and condition (P) \(S\)-posets ⋮ Co-uniform and hollow S-acts over monoids ⋮ On covers of acts over monoids with Condition $(P')$ ⋮ On covers of cyclic acts over monoids. ⋮ Perfection for pomonoids ⋮ Strongly Flat and Condition (P) Covers of Acts Over Monoids ⋮ Connected objects in categories of S-acts ⋮ ON FLATNESS COVERS OF CYCLIC ACTS OVER MONOIDS

Cites Work

• Unnamed Item
• Characterization of monoids by torsion-free, flat, projective, and free acts
• Characterization of monoids by condition (P) of cyclic left acts
• On monoids over which all strongly flat cyclic right acts are projective
• Perfect monoids
• Perfect categories
• Perfect semigroups

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