Monoids over which every flat right act satisfies condition (P)

DOI10.1080/00927879408824997zbMath0802.20052OpenAlexW1985276320MaRDI QIDQ4295972

Yongbao Yang, Liu, Zhongkui

Publication date: 7 July 1994

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879408824997

zbMATH Keywords

pullbacksmonomorphismsprincipal left idealflat right \(S\)-actsleft \(PSF\) monoidleft \(S\)-actright reversible monoids

Mathematics Subject Classification ID

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

Related Items (6)

Characterization of monoids by condition (P) of cyclic left acts ⋮ On homological classification of pomonoids by GP-po-flatness of \(S\)-posets ⋮ Unnamed Item ⋮ Monoids over which all flat left acts are regular ⋮ Principal Weak Flatness and Regularity of Diagonal Acts ⋮ On Properties of Product Acts over Monoids

Cites Work

• On equalizer-flat and pullback-flat acts
• Characterization of monoids by properties of regular acts
• Absolutely flat semigroups
• A characterization of regular monoids by flatness of left acts
• Right PP monoids with central idempotents
• Characterization of monoids by condition (P) of cyclic left acts
• A characterization of left cancellative monoids by flatness properties
• Projectivity of acts and Morita equivalence of monoids
• Commutative monoids all of whose principal ideals are projective
• Monoids over which all weakly flat acts are flat
• Pullback-Flat Acts are Strongly Flat
• Flatness and localization over monoids

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