Monoids over which all weakly flat acts are flat

DOI10.1017/S0013091500018198zbMath0704.20052OpenAlexW2149171196MaRDI QIDQ3483479

Kenneth McDowell, Sydney Bulman-Fleming

Publication date: 1990

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500018198

zbMATH Keywords

idempotentsprincipal right idealscommutative monoidminimal right idealsembeddings of right S-setsprincipally weakly flatweakly flat cyclic S-setweakly flat left S-sets

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Ideal theory for semigroups (20M12) Connections of semigroups with homological algebra and category theory (20M50)

Related Items

Characterization of monoids by condition (P) of cyclic left acts, STRONG FLATNESS PROPERTIES OF RIGHT S-ACTS SATISFYING CONDITION (P), Monoids over which all regular left acts are flat, Monoids over which every flat right act satisfies condition (P), Covers of acts over monoids. II., Some observations on left absolutely flat monoids, On monoids over which all generators satisfy a flatness property., Strongly Flat andPO-FlatS-Posets, On a generalization of principal weak flatness property., A characterization of regular monoids by flatness of left acts, Flatness properties of diagonal acts over monoids., A characterization of left cancellative monoids by flatness properties, On a generalization of weak flatness, Flatness properties of S-posets with an approach to down-closed subposets, Principally Weakly and Weakly Coherent Monoids, Flatness properties of acts over commutative, cancellative monoids, On Properties of Product Acts over Monoids

Cites Work

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• Left Absolutely Flat Generalized Inverse Semigroups