Characterization of monoids by condition (P) of cyclic left acts

DOI10.1007/BF02573468zbMath0804.20048MaRDI QIDQ1328443

Liu, Zhongkui

Publication date: 29 August 1994

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

Full work available at URL: https://eudml.org/doc/135331

zbMATH Keywords

pullbacksprojective generatorscondition (P)left \(S\)-actscyclic flat left \(S\)-actsleft reversible right PP monoidsstrongly flat left \(S\)- acts

Mathematics Subject Classification ID

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

Related Items (9)

STRONG FLATNESS PROPERTIES OF RIGHT S-ACTS SATISFYING CONDITION (P) ⋮ Monoids over which all flat cyclic right acts are strongly flat ⋮ Monoids over which every flat right act satisfies condition (P) ⋮ Flatness properties of monocyclic acts ⋮ Perfect monoids revisited ⋮ Periodic monoids over which all flat cyclic right acts satisfy condition (P) ⋮ PULLBACKS AND FLATNESS PROPERTIES OF ACTS. II ⋮ On a Generalization of Weak Pullback Flatness ⋮ Flatness properties of acts over commutative, cancellative monoids

Cites Work

• Unnamed Item
• On equalizer-flat and pullback-flat acts
• On free, projective, and strongly flat acts
• Characterization of monoids by properties of regular acts
• Wreath products of acts over monoids. I: Regular and inverse acts
• A characterization of regular monoids by flatness of left acts
• Right PP monoids with central idempotents
• A characterization of left cancellative monoids by flatness properties
• Perfect monoids
• Projectivity of acts and Morita equivalence of monoids
• Monoids over which all weakly flat acts are flat
• Pullback-Flat Acts are Strongly Flat
• Flat and strongly flat s-systems
• Perfect semigroups
• Monoids over which every flat right act satisfies condition (P)

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