Monoids over which all flat left acts are regular

DOI10.1016/0022-4049(96)00023-0zbMath0855.20053OpenAlexW2099154408MaRDI QIDQ1921363

Liu, Zhongkui

Publication date: 13 November 1996

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(96)00023-0

zbMATH Keywords

monoidsregular actscyclic subactsflat left actsweakly flat left acts

Mathematics Subject Classification ID

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

Related Items (3)

On a Question of Kilp and Knauer ⋮ MONOIDS OVER WHICH ALL REGULAR RIGHT S-ACTS ARE WEAKLY INJECTIVE ⋮ Monoids over which all strongly flat left acts are regular

Cites Work

• On equalizer-flat and pullback-flat acts
• Characterizations of monoids by regular acts
• Characterization of monoids by properties of regular acts
• Wreath products of acts over monoids. I: Regular and inverse acts
• Absolutely flat semigroups
• A characterization of regular monoids by flatness of left acts
• Monoids over which all regular left acts are flat
• Monoids over which all flat cyclic right acts are strongly flat
• Projectivity of acts and Morita equivalence of monoids
• Pullback-Flat Acts are Strongly Flat
• Monoids over which every flat right act satisfies condition (P)
• Flatness and localization over monoids
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