AXIOMATISABILITY OF WEAKLY FLAT, FLAT, AND PROJECTIVES-ACTS

DOI10.1081/AGB-120015672zbMath1017.20058MaRDI QIDQ4796314

Sydney Bulman-Fleming, Victoria Gould

Publication date: 3 June 2003

Published in: Communications in Algebra (Search for Journal in Brave)

zbMATH Keywords

flatnessmonoidsprojective actsultraproductsaxiomatisabilityweakly flat acts

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Connections of semigroups with homological algebra and category theory (20M50) Axiomatic model classes (08C10) Ultraproducts and related constructions (03C20)

Related Items (6)

Axiomatisability problems for \(S\)-acts, revisited. ⋮ Axiomatizability and completeness of some classes of partially ordered polygons ⋮ Axiomatizability of free \(S\)-posets ⋮ Model-theoretic properties of free, projective, and flat \(S\)-acts ⋮ Axiomatisability problems for \(S\)-posets ⋮ INDECOMPOSABLE, PROJECTIVE, AND FLATS-POSETS

Cites Work

• Unnamed Item
• Absolutely flat semigroups
• Axiomatizability and completeness of some classes of \(S\)-polygons
• A characterization of left cancellative monoids by flatness properties
• Perfect monoids
• Projectivity of acts and Morita equivalence of monoids
• Hereditary and semi-hereditary monoids
• Pullback-Flat Acts are Strongly Flat
• Perfect semigroups
• Flatness properties of acts over commutative, cancellative monoids
• Flatness and localization over monoids
• Definability problems for modules and rings

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