Axiomatizability of the class of weakly injective \(S\)-acts

DOI10.1134/S0037446617040073zbMath1420.03078OpenAlexW2752864404WikidataQ114075224 ScholiaQ114075224MaRDI QIDQ1675174

E. L. Efremov, Alena Andreevna Stepanova

Publication date: 27 October 2017

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446617040073

zbMATH Keywords

axiomatizabilitymonoid\(S\)-actfg-weakly injective \(S\)-actp-weakly injective \(S\)-actweakly injective \(S\)-act

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Properties of classes of models (03C52) Representation of semigroups; actions of semigroups on sets (20M30)

Related Items (2)

Completeness and stability of the class of injective \(S\)-acts ⋮ The primitive normality of a class of weakly injective \(S\)-acts

Cites Work

• Axiomatizability and completeness of the class of injective acts over a commutative monoid or a group
• The characterisation of monoids by properties of their S-systems
• Model theory
• Axiomatizability and completeness of some classes of \(S\)-polygons
• Axiomatizability and model completeness of the class of regular polygons
• Monoids, acts and categories. With applications to wreath products and graphs. A handbook for students and researchers
• Model-theoretic properties of free, projective, and flat \(S\)-acts
• The Injective Envelope of S-Sets
• Axiomatisability Problems for S -Systems
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