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Information Journal Paper

Title

Universal extensions of specialization semilattices

Pages

  85-100

Abstract

 A Specialization semilattice is a join semilattice together with a coarser preorder ⊑,satisfying an appropriate compatibility condition. If 𝑋,is a topological space, then (P(𝑋, ), ∪, , ⊑, ) is a Specialization semilattice, where 𝑥,⊑,𝑦,if 𝑥,⊆,𝐾, 𝑦, , for 𝑥, , 𝑦,⊆,𝑋, , and 𝐾,is closure. Specialization semilattices and posets appear as auxiliary structures in many disparate scientific fields, even unrelated to topology. In a former work we showed that every Specialization semilattice can be embedded into the Specialization semilattice associated to a topological space as above. Here we describe the universal embedding of a Specialization semilattice into an additive closure semilattice.

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    APA: Copy

    Lipparini, Paolo. (2022). Universal extensions of specialization semilattices. CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS, 17(1 ), 85-100. SID. https://sid.ir/paper/1057849/en

    Vancouver: Copy

    Lipparini Paolo. Universal extensions of specialization semilattices. CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS[Internet]. 2022;17(1 ):85-100. Available from: https://sid.ir/paper/1057849/en

    IEEE: Copy

    Paolo Lipparini, “Universal extensions of specialization semilattices,” CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS, vol. 17, no. 1 , pp. 85–100, 2022, [Online]. Available: https://sid.ir/paper/1057849/en

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