On the Baer Criterion for Acts Over Semigroups

DOI10.1080/00927870701509396zbMath1154.20055OpenAlexW2025003073MaRDI QIDQ5436315

M. Mehdi Ebrahimi, Gh. Moghaddasi Angizan, Mojgan Mahmoudi

Publication date: 14 January 2008

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

Full work available at URL: https://doi.org/10.1080/00927870701509396

zbMATH Keywords

injective hullsBaer criterionidempotent semigroupssemigroup actsdense extensionsdense subactslimits of Cauchy sequencessequentially injective acts

Mathematics Subject Classification ID

Connections of semigroups with homological algebra and category theory (20M50) Categories of algebras (08C05) Unary algebras (08A60) Representation of semigroups; actions of semigroups on sets (20M30) Injectives, projectives (08B30)

Related Items (3)

C-DENSE INJECTIVITY IN Act-S ⋮ Sequentially dense essential monomorphisms of acts over semigroups ⋮ Essentiality and injectivity relative to sequential purity of acts.

Cites Work

• Baer criterion for injectivity of projection algebras
• Purity in the category of M-sets
• Algebra in a Grothendieck topos: Injectivity in quasi-equational classes
• On \(m\)-separated projection spaces

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