Monoids over which all weakly flat acts are flat
From MaRDI portal
Publication:3483479
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
idempotentsprincipal right idealscommutative monoidminimal right idealsembeddings of right S-setsprincipally weakly flatweakly flat cyclic S-setweakly flat left S-sets
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
- Unnamed Item
- On equalizer-flat and pullback-flat acts
- On V. Fleischer's characterization of absolutely flat monoids
- Characterization of monoids by torsion-free, flat, projective, and free acts
- Absolutely flat semigroups
- Right PP monoids with central idempotents
- A characterization of left cancellative monoids by flatness properties
- Regular semigroups whose idempotents satisfy permutation identities
- Commutative monoids all of whose principal ideals are projective
- Left Absolutely Flat Generalized Inverse Semigroups