Monoids over which all flat cyclic right acts are strongly flat

DOI10.1007/BF02573519zbMath0824.20054OpenAlexW2071846566MaRDI QIDQ1346306

Sydney Bulman-Fleming, Peeter Normak

Publication date: 30 October 1995

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

Full work available at URL: https://eudml.org/doc/135381

zbMATH Keywords

monoidsprojective actsright \(S\)-actsright nil monoidsstrongly flat acts

Mathematics Subject Classification ID

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

Related Items

On monoids over which all strongly flat cyclic right acts are projective ⋮ Monoids over which all flat left acts are regular ⋮ Flatness properties of monocyclic acts ⋮ Unnamed Item ⋮ Model-theoretic properties of free, projective, and flat \(S\)-acts ⋮ Periodic monoids over which all flat cyclic right acts satisfy condition (P) ⋮ On flatness properties of cyclic \(S\)-posets ⋮ Monoids over which all strongly flat left acts are regular

Cites Work

• Unnamed Item
• Unnamed Item
• On equalizer-flat and pullback-flat acts
• Characterization of monoids by torsion-free, flat, projective, and free acts
• Absolutely flat semigroups
• Right PP monoids with central idempotents
• Characterization of monoids by condition (P) of cyclic left acts
• A characterization of left cancellative monoids by flatness properties
• Perfect monoids
• Projectivity of acts and Morita equivalence of monoids
• Commutative monoids all of whose principal ideals are projective
• Flat and strongly flat s-systems
• Perfect semigroups
• Projective functors for quantized enveloping algebras
• On homological classification of monoids