Characterization of monoids by torsion-free, flat, projective, and free acts

DOI10.1007/BF01223703zbMath0458.20061MaRDI QIDQ1151467

Ulrich Knauer, Mario Petrich

Publication date: 1981

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

projective right actscancellable elementflat right actstorsion free acts

Mathematics Subject Classification ID

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

Related Items (18)

Divisible S-systems and R-modules ⋮ Characterization of monoids by properties of regular acts ⋮ Monoids over which all flat cyclic right acts are strongly flat ⋮ Characterization of monoids by properties of generators ⋮ On monoids over which all strongly flat cyclic right acts are projective ⋮ Wreath products of acts over monoids. II: Torsion free and divisible acts ⋮ Covers of acts over monoids. II. ⋮ Monoids over which all weakly flat acts are flat ⋮ Flatness properties of monocyclic acts ⋮ Perfect monoids revisited ⋮ Flat and strongly flat s-systems ⋮ Model-theoretic properties of free, projective, and flat \(S\)-acts ⋮ Strongly Flat andPO-FlatS-Posets ⋮ PULLBACKS AND FLATNESS PROPERTIES OF ACTS. I ⋮ On equalizer-flat and pullback-flat acts ⋮ A characterization of left cancellative monoids by flatness properties ⋮ Flatness properties of acts over commutative, cancellative monoids ⋮ On free, projective, and strongly flat acts

Cites Work

• Unnamed Item
• Perfect monoids
• Projectivity of acts and Morita equivalence of monoids
• Perfect semigroups
• Indecomposable and Injective S‐systems with Zero
• A study of operands in terms of maximal generalized orbits

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