ON REGULAR PRIME INJECTIVITY OF S-POSETS

DOI10.22044/JAS.2020.8317.1406zbMath1468.20105OpenAlexW3155348325MaRDI QIDQ4956582

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Publication date: 2 September 2021

Full work available at URL: http://jas.shahroodut.ac.ir/article_1949_aad563a0d2447906c778a74bfd257d37.pdf

zbMATH Keywords

prime sub \(S\)-posetregular prime injectiveregular prime monomorphism

Mathematics Subject Classification ID

Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20) Connections of semigroups with homological algebra and category theory (20M50) Representation of semigroups; actions of semigroups on sets (20M30)

Cites Work

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• Injectivity of \(S\)-posets with respect to down closed regular monomorphisms.
• Banaschewski's theorem for \(S\)-posets: regular injectivity and completeness.
• 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
• Equivariant completeness and regular injectivity ofS-posets
• Prime modules.
• Prime and semiprime acts over monoids with zero

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