A characterization of left cancellative monoids by flatness properties

DOI10.1007/BF02573256zbMath0682.20048OpenAlexW2070182197MaRDI QIDQ1824042

Kenneth McDowell, Sydney Bulman-Fleming

Publication date: 1990

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/135009

zbMATH Keywords

principal right idealsmonoidembeddings of right S-actsflat S-actleft cancellativeright PP

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 (10)

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 ⋮ Monoids over which all flat cyclic right acts are strongly flat ⋮ Unnamed Item ⋮ Monoids over which every flat right act satisfies condition (P) ⋮ Monoids over which all weakly flat acts are flat ⋮ Flat and strongly flat s-systems ⋮ A characterization of regular monoids by flatness of left acts ⋮ On a generalization of weak flatness

Cites Work

• On equalizer-flat and pullback-flat acts
• On free, projective, and strongly flat acts
• Characterization of monoids by torsion-free, flat, projective, and free acts
• Absolutely flat semigroups
• Right PP monoids with central idempotents
• Commutative monoids all of whose principal ideals are projective
• Monoids over which all weakly flat acts are flat

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