Banaschewski's theorem for \(S\)-posets: regular injectivity and completeness.

DOI10.1007/S00233-010-9207-4zbMath1198.20060OpenAlexW2054571357WikidataQ122661056 ScholiaQ122661056MaRDI QIDQ972593

H. Rasouli, Mojgan Mahmoudi, M. Mehdi Ebrahimi

Publication date: 21 May 2010

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-010-9207-4

zbMATH Keywords

completenessmonomorphismsretractspomonoids\(S\)-posetsinjective posetspogroupsregular injectivity

Mathematics Subject Classification ID

Ordered semigroups and monoids (06F05) Connections of semigroups with homological algebra and category theory (20M50)

Related Items (16)

COGENERATOR AND SUBDIRECTLY IRREDUCIBLE IN THE CATEGORY OF S-POSETS ⋮ ORDER DENSE ESSENTIALITY AND BEHAVIOR OF ORDER DENSE INJECTIVITY ⋮ The regular-injective envelope of \(S\)-posets ⋮ Quasi-injectivity of partially ordered acts ⋮ On unitary down-closed regular monomorphisms of pomonoid actions ⋮ On injective hulls of \(S\)-posets ⋮ Completion of \(S\)-posets ⋮ Down closed-quasi-injectivity of partially ordered acts ⋮ Injectivity of \(S\)-posets with respect to down closed regular monomorphisms. ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Categorical Properties of Down Closed Embeddings ⋮ Quasi injectivity andθ-internal order sum in partially ordered acts ⋮ Down closed injectivity and essentialness ⋮ ON REGULAR PRIME INJECTIVITY OF S-POSETS ⋮ Injectivity of directed complete poset acts

Cites Work

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• Subpullback flat \(S\)-posets need not be subequalizer flat.
• 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
• On homological classification of pomonoids by regular weak injectivity properties of \(S\)-posets
• Internal completeness and injectivity of Boolean algebras in the topos of M-sets
• Flatness Properties of S-Posets
• The Injective Envelope of S-Sets
• Lazard's Theorem for S ‐posets
• Internal injectivity of Boolean algebras in \({\mathcal{MS}}et\)

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