Covers of Acts Over Monoids and Pure Epimorphisms

DOI10.1017/S0013091513000618zbMath1309.20053arXiv1206.3095OpenAlexW2963851160MaRDI QIDQ2921037

James Renshaw, Alex Bailey

Publication date: 30 September 2014

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.3095

zbMATH Keywords

coversprecoversacts over monoidscolimitspure epimorphismsstrongly flat actssplit epimorphismsfinitely presented acts

Mathematics Subject Classification ID

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

Related Items (10)

Directed colimits of some flatness properties and purity of epimorphisms in \(S\)-posets ⋮ A short note on strongly flat covers of acts over monoids ⋮ Covers of acts over monoids. II. ⋮ Alexandroff topologies and monoid actions ⋮ Characterization of monoids by condition (GP) ⋮ On factorization systems for \(S\)-acts ⋮ Weak factorization systems for \(S\)-acts. ⋮ On covers of acts over monoids with Condition $(P')$ ⋮ On covers of acts over monoids with condition \((PF)\) and envelopes of \(S\)-acts ⋮ On a Generalization of Weak Pullback Flatness

Cites Work

• Unnamed Item
• On equalizer-flat and pullback-flat acts
• Some properties of precovers and covers.
• On covers of cyclic acts over monoids.
• Perfect amalgamation bases
• Monoids for which condition \((P)\) acts are projective
• Perfect monoids
• Strongly Flat and Condition (P) Covers of Acts Over Monoids
• ALL MODULES HAVE FLAT COVERS
• Stability and flatness in acts over monoids
• Flatness and localization over monoids
• On covers

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