On unitary down-closed regular monomorphisms of pomonoid actions

DOI10.2989/16073606.2017.1418456zbMath1436.06036OpenAlexW2793932493MaRDI QIDQ4562710

Ali Madanshekaf, Farideh Farsad

Publication date: 18 December 2018

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2017.1418456

zbMATH Keywords

\(S\)-posetunitary down-closed embeddingweakly regular d-injective

Mathematics Subject Classification ID

Projectives and injectives (category-theoretic aspects) (18G05) Ordered semigroups and monoids (06F05) Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20) Connections of semigroups with homological algebra and category theory (20M50) Factorization systems, substructures, quotient structures, congruences, amalgams (18A32) Representation of semigroups; actions of semigroups on sets (20M30)

Cites Work

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• Weak factorization systems for \(S\)-acts.
• Injectivity of \(S\)-posets with respect to down closed regular monomorphisms.
• Banaschewski's theorem for \(S\)-posets: regular injectivity and completeness.
• Weak factorization systems and topological functors
• Monoids, acts and categories. With applications to wreath products and graphs. A handbook for students and researchers
• The category of \(S\)-posets.
• Categorial characterization of the MacNeille completion
• Injectivity and sections
• Equivariant completeness and regular injectivity ofS-posets
• REGULAR INJECTIVITY AND EXPONENTIABILITY IN THE SLICE CATEGORIES OF ACTIONS OF POMONOIDS ON POSETS

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