Pullback-Flat Acts are Strongly Flat

DOI10.4153/CMB-1991-073-2zbMath0774.20046OpenAlexW2327099850MaRDI QIDQ4010006

Sydney Bulman-Fleming

Publication date: 27 September 1992

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cmb-1991-073-2

zbMATH Keywords

pullbacksmonoidsequalizersright \(S\)-actsstrongly flat acts

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Connections of semigroups with homological algebra and category theory (20M50)

Related Items (21)

Characterization of monoids by condition (P) of cyclic left acts ⋮ STRONG FLATNESS PROPERTIES OF RIGHT S-ACTS SATISFYING CONDITION (P) ⋮ AXIOMATISABILITY OF WEAKLY FLAT, FLAT, AND PROJECTIVES-ACTS ⋮ Characterization of monoids by properties of generators ⋮ Flatness properties of acts over semigroups ⋮ Monoids over which every flat right act satisfies condition (P) ⋮ Monoids over which all flat left acts are regular ⋮ Model-theoretic properties of free, projective, and flat \(S\)-acts ⋮ Lazard's Theorem for S ‐posets ⋮ Strongly Flat andPO-FlatS-Posets ⋮ PULLBACKS AND FLATNESS PROPERTIES OF ACTS. I ⋮ PULLBACKS AND FLATNESS PROPERTIES OF ACTS. II ⋮ A characterization of regular monoids by flatness of left acts ⋮ Some Conditions on Monoids for Which Condition (P) Acts Are Strongly Flat ⋮ Flatness properties of diagonal acts over monoids. ⋮ Monoid properties as invariants of toposes of monoid actions ⋮ Subpullback flat \(S\)-posets need not be subequalizer flat. ⋮ On a Generalization of Weak Pullback Flatness ⋮ On flatness properties of cyclic acts ⋮ On diagrams and flatness of functors ⋮ Right projective semigroups with 0

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