C-DENSE INJECTIVITY IN Act-S

DOI10.1142/S1793557112500106zbMath1261.20076OpenAlexW2125393937WikidataQ122145861 ScholiaQ122145861MaRDI QIDQ2911878

Leila Shahbaz

Publication date: 3 September 2012

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557112500106

zbMATH Keywords

closure operatorssemigroup acts\(C\)-dense injectivity

Mathematics Subject Classification ID

Projectives and injectives (category-theoretic aspects) (18G05) Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20) Connections of semigroups with homological algebra and category theory (20M50) Unary algebras (08A60) Representation of semigroups; actions of semigroups on sets (20M30) Injectives, projectives (08B30)

Cites Work

• Injective objects and cogenerating sets
• Algebra in a Grothendieck topos: Injectivity in quasi-equational classes
• Characterizing semigroups by sequentially dense injective acts.
• On the Baer Criterion for Acts Over Semigroups
• Purity and equational compactness of projection algebras

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