Directed colimits of some flatness properties and purity of epimorphisms in \(S\)-posets

DOI10.1515/math-2018-0061zbMath1435.06014OpenAlexW2851962042MaRDI QIDQ1617066

Roghaieh Khosravi, Xingliang Liang

Publication date: 7 November 2018

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2018-0061

zbMATH Keywords

\(S\)-posetdirected colimitpure epimorphismflatness property

Mathematics Subject Classification ID

Ordered semigroups and monoids (06F05) Connections of semigroups with homological algebra and category theory (20M50)

Cites Work

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• On equalizer-flat and pullback-flat acts
• Absolute flatness and amalgams in pomonoids
• On condition \((P')\).
• Every class of \(S\)-acts having a flatness property is closed under directed colimits
• The category of \(S\)-posets.
• Covers of Acts Over Monoids and Pure Epimorphisms
• INDECOMPOSABLE, PROJECTIVE, AND FLATS-POSETS
• Subpullbacks and Flatness Properties of S-Posets
• Flatness Properties of S-Posets
• Flatness and localization over monoids
• Lazard's Theorem for S ‐posets
• Strongly Flat andPO-FlatS-Posets
• On Condition $(PWP)_{w}$ for $S$-posets
• Perfection for pomonoids

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