scientific article; zbMATH DE number 7536567

zbMath1498.06005MaRDI QIDQ5863859

Xia Zhang, Wen Ma, Jan Paseka

Publication date: 3 June 2022

Full work available at URL: https://www.oldcitypublishing.com/journals/mvlsc-home/mvlsc-issue-contents/mvlsc-volume-38-number-1-2-2022/mvlsc-38-1-2-p-227-243/

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zbMATH Keywords

nucleusclosure operatorcompletionpartially ordered setinjective hullinjective objectabsolute retractlax morphismdown-setcoretractionorder-embeddingessential morphismdynamic possibility logic

Mathematics Subject Classification ID

Other nonclassical logic (03B60) Complete lattices, completions (06B23) Algebraic aspects of posets (06A11) Galois correspondences, closure operators (in relation to ordered sets) (06A15) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

Cites Work

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• Injective hulls for ordered algebras
• Effect algebras and unsharp quantum logics.
• Extension of uniformly continuous transformations and hyperconvex metric spaces
• On injective hulls of \(S\)-posets
• Injective hulls are not natural.
• Injectives in certain classes of semigroups
• On injective constructions of \(S\)-semigroups
• Quantum B-algebras
• The category of semilattices
• Algebraic and Categorical Aspects of Quantales
• Injective hulls for posemigroups
• Injective Hulls of Certain S-Systems over a Semilattice

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