Flatness properties of acts over commutative, cancellative monoids

DOI10.1112/S0025579300007592zbMath0956.20053OpenAlexW1976417180MaRDI QIDQ4494728

Sydney Bulman-Fleming

Publication date: 8 August 2000

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300007592

zbMATH Keywords

congruencesflatnesscancellative monoidsproperty (P)right actstorsion-free coversmonocyclic actstorsion-free acts

Mathematics Subject Classification ID

Connections of semigroups with homological algebra and category theory (20M50) Representation of semigroups; actions of semigroups on sets (20M30)

Related Items (2)

AXIOMATISABILITY OF WEAKLY FLAT, FLAT, AND PROJECTIVES-ACTS ⋮ On condition \((P')\).

Cites Work

• On equalizer-flat and pullback-flat acts
• On free, projective, and strongly flat acts
• Flatness properties of monocyclic acts
• Characterization of monoids by torsion-free, flat, projective, and free acts
• Characterization of monoids by condition (P) of cyclic left acts
• On monoids over which all strongly flat cyclic right acts are projective
• Monoids over which all weakly flat acts are flat
• Flat and strongly flat s-systems

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