INDECOMPOSABLE, PROJECTIVE, AND FLATS-POSETS

DOI10.1081/AGB-200040992zbMath1080.20058OpenAlexW1996469212MaRDI QIDQ4678685

Fanggui Wang, Liu, Zhongkui, Sydney Bulman-Fleming, Xiao Ping Shi

Publication date: 23 May 2005

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

Full work available at URL: https://doi.org/10.1081/agb-200040992

zbMATH Keywords

tensor productspartially ordered semigroupsflatnesscategories of acts\(S\)-posetsleft actsindecomposable posets\(I\)-regularityprojective posetscategories of posets

Mathematics Subject Classification ID

Ordered semigroups and monoids (06F05) Connections of semigroups with homological algebra and category theory (20M50) Representation of semigroups; actions of semigroups on sets (20M30)

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Cites Work

• Wreath products of ordered semigroups. II: Inverse ordered wreath products
• Absolute flatness and amalgams in pomonoids
• Characterizations of monoids by regular acts
• Characterization of monoids by properties of regular acts
• A characterization of regular monoids by flatness of left acts
• Monoids for which condition \((P)\) acts are projective
• Projective and indecomposable \(S\)-acts
• Strong Morita equivalence and a generalisation of the Rees theorem
• Projectivity of acts and Morita equivalence of monoids
• Projective functors for quantized enveloping algebras
• STRONG FLATNESS PROPERTIES OF RIGHT S-ACTS SATISFYING CONDITION (P)
• AXIOMATISABILITY OF WEAKLY FLAT, FLAT, AND PROJECTIVES-ACTS

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