A characterization of regular monoids by flatness of left acts

DOI10.1007/BF02573548zbMath0766.20024MaRDI QIDQ1206786

Liu, Zhongkui

Publication date: 1 April 1993

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

Full work available at URL: https://eudml.org/doc/135214

zbMATH Keywords

flatnessmonoidregular semigroupleft \(S\)-acts

Mathematics Subject Classification ID

Regular semigroups (20M17) Connections of semigroups with homological algebra and category theory (20M50)

Related Items (7)

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 ⋮ Monoids over which every flat right act satisfies condition (P) ⋮ Monoids over which all flat left acts are regular ⋮ INDECOMPOSABLE, PROJECTIVE, AND FLATS-POSETS

Cites Work

• On equalizer-flat and pullback-flat acts
• Absolutely flat semigroups
• A characterization of left cancellative monoids by flatness properties
• Monoids over which all weakly flat acts are flat
• Pullback-Flat Acts are Strongly Flat
• Flat and strongly flat s-systems

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