ORDER DENSE ESSENTIALITY AND BEHAVIOR OF ORDER DENSE INJECTIVITY

DOI10.22044/JAS.2019.7773.1384zbMath1468.06039OpenAlexW2980926717MaRDI QIDQ4956458

Leila Shahbaz

Publication date: 2 September 2021

Full work available at URL: https://doaj.org/article/5e422a03bfff43b185ae7c0848c4af46

zbMATH Keywords

\(S\)-posetorder dense sub \(S\)-posetod-essentialod-injective

Mathematics Subject Classification ID

Projectives and injectives (category-theoretic aspects) (18G05) Ordered semigroups and monoids (06F05) Connections of semigroups with homological algebra and category theory (20M50) Representation of semigroups; actions of semigroups on sets (20M30)

Related Items (1)

Order vitally dense injectivity and order vitally essentiality

Cites Work

• The regular-injective envelope of \(S\)-posets
• Various kinds of regular injectivity for \(S\)-posets.
• Injectivity of \(S\)-posets with respect to down closed regular monomorphisms.
• Banaschewski's theorem for \(S\)-posets: regular injectivity and completeness.
• Regular injectivity of \(S\)-posets over Clifford pomonoids
• Monoids, acts and categories. With applications to wreath products and graphs. A handbook for students and researchers
• Essentiality and injectivity
• The category of \(S\)-posets.
• Categorial characterization of the MacNeille completion
• On homological classification of pomonoids by regular weak injectivity properties of \(S\)-posets
• Lazard's Theorem for S ‐posets
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