Injectivity of \(S\)-posets with respect to down closed regular monomorphisms.

DOI10.1007/s00233-014-9676-yzbMath1335.06011OpenAlexW1997590845WikidataQ122705556 ScholiaQ122705556MaRDI QIDQ906969

Leila Shahbaz, Mojgan Mahmoudi

Publication date: 1 February 2016

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

Full work available at URL: https://doi.org/10.1007/s00233-014-9676-y

zbMATH Keywords

\(S\)-posetsdc-injective posetsdown closed embeddingsdown closed regular injective posetsdown closed sub \(S\)-posets

Mathematics Subject Classification ID

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

Related Items (9)

ORDER DENSE ESSENTIALITY AND BEHAVIOR OF ORDER DENSE INJECTIVITY ⋮ On unitary down-closed regular monomorphisms of pomonoid actions ⋮ Down closed-quasi-injectivity of partially ordered acts ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Categorical Properties of Down Closed Embeddings ⋮ Flatness properties of S-posets with an approach to down-closed subposets ⋮ Down closed injectivity and essentialness ⋮ ON REGULAR PRIME INJECTIVITY OF S-POSETS

Cites Work

• Various kinds of regular injectivity for \(S\)-posets.
• On flatness properties of cyclic \(S\)-posets
• Banaschewski's theorem for \(S\)-posets: regular injectivity and completeness.
• Subpullback flat \(S\)-posets need not be subequalizer flat.
• 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
• The category of \(S\)-posets.
• On homological classification of pomonoids by regular weak injectivity properties of \(S\)-posets
• Flatness Properties of S-Posets
• Lazard's Theorem for S ‐posets
• Unnamed Item
• Unnamed Item

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