Injective hulls in POS\(_V\)
type: Item
instance of: scholarly article
title: Injective hulls in POS\(_V\)
zbMATH Open document ID: 0939.06001
DOI: 10.1007/BF03322115
author: Ulrich Heckmanns
published in: Results in Mathematics
publication date: 2000-01-31T00:00:00Z
review text: 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.
reviewed by: Jiří Rosický
Mathematics Subject Classification ID: 06A06
Mathematics Subject Classification ID: 18B99
zbMATH DE Number: 1383723
zbMATH Keywords: injective object
zbMATH Keywords: injective hull
zbMATH Keywords: category of posets and \(V\)-homomorphisms
zbMATH Keywords: semilattice
MaRDI profile type: Publication
Wikidata QID: Q114233698
cites work: Injective Hulls of Semilattices
cites work: Q3315558
cites work: Ideals in Partially Ordered Sets
cites work: Q4256224
cites work: The category of semilattices
cites work: Q3730636
cites work: Semi-Valuations and Groups of Divisibility
description: scientific article; zbMATH DE number 1383723