On free, projective, and strongly flat acts

DOI10.1007/BF01202495zbMath0588.20041OpenAlexW2051030855MaRDI QIDQ1073191

Mati Kilp, Ulrich Knauer

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf01202495

zbMATH Keywords

injective cogeneratorsmonoidsstrongly flatprojective generatorsleft invertible elementflat left S-actsinjective left S-acts

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Algebraic theory of languages and automata (68Q70) Connections of semigroups with homological algebra and category theory (20M50) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

Related Items (12)

Characterization of monoids by condition (P) of cyclic left acts ⋮ STRONG FLATNESS PROPERTIES OF RIGHT S-ACTS SATISFYING CONDITION (P) ⋮ Characterization of monoids by properties of regular acts ⋮ An investigation on \(S\)-hypersystems over semihypergroups ⋮ Characterization of monoids by properties of generators ⋮ On monoids over which all strongly flat cyclic right acts are projective ⋮ Flat and strongly flat s-systems ⋮ Products of projective S-Systems ⋮ On equalizer-flat and pullback-flat acts ⋮ Morita duality for monoids ⋮ A characterization of left cancellative monoids by flatness properties ⋮ Flatness properties of acts over commutative, cancellative monoids

Cites Work

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• Characterization of monoids by torsion-free, flat, projective, and free acts
• Projectivity of acts and Morita equivalence of monoids
• Perfect semigroups
• The Injective Envelope of S-Sets
• Indecomposable and Injective S‐systems with Zero

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