Injective Hulls in POSV

descriptionPublicationkeyboard_double_arrow_right Article 01 Nov 1999 English Publisher:Springer Science and Business Media LLCJournal:Results in Mathematics, volume 36, pages 260-270 (issn: 1422-6383, eissn: 1420-9012,

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Authors: Heckmanns, Ulrich;

doi: 10.1007/bf03322115

Injective Hulls in POSV

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Abstract

The known results about injective objects in the category of join semilattices are generalized to the category \(\text{POS}_V\) of posets and \(V\)-homomorphisms. Any \(V\)-homomorphism is isotone and, on join semilattices, \(V\)-homomorphisms coincide with join preserving maps.

Related Organizations

Ludwig-Maximilians-Universität München
Germany

Keywords

Partial orders, general, category of posets and \(V\)-homomorphisms, semilattice, Special categories, injective object, injective hull

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