On monoids over which all strongly flat cyclic right acts are projective

DOI10.1007/BF02574099zbMath0844.20051MaRDI QIDQ1910649

Mati Kilp

Publication date: 2 September 1996

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

Full work available at URL: https://eudml.org/doc/135451

zbMATH Keywords

projective actsprojective generatorsleft collapsible submonoidsstrongly flat cyclic right \(S\)-acts

Mathematics Subject Classification ID

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

Related Items (13)

Perfect monoids revisited ⋮ Perfection for semigroups ⋮ On strongly flat and condition (P) \(S\)-posets ⋮ PULLBACKS AND FLATNESS PROPERTIES OF ACTS. I ⋮ On flatness properties of cyclic \(S\)-posets ⋮ On covers of cyclic acts over monoids. ⋮ On left C-U-liberal semigroups ⋮ Perfection for pomonoids ⋮ ON FLATNESS COVERS OF CYCLIC ACTS OVER MONOIDS ⋮ On flatness properties of cyclic acts ⋮ COVERS FOR S-ACTS AND CONDITION (A) FOR A MONOID S ⋮ Flatness properties of acts over commutative, cancellative monoids ⋮ Right projective semigroups with 0

Cites Work

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• On free, projective, and strongly flat acts
• Characterization of monoids by torsion-free, flat, projective, and free acts
• Monoids over which all flat cyclic right acts are strongly flat
• Perfect monoids
• Projectivity of acts and Morita equivalence of monoids
• The kantor construction of jordan superalgebras
• Perfect semigroups

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