On some basic constructions in categories of quantale-valued sup-lattices

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Authors	ŠLESINGER Radek
Year of publication	2016
Type	Article in Periodical
Magazine / Source	Mathematics for Applications
MU Faculty or unit	Faculty of Science
Citation
web	http://ma.fme.vutbr.cz/5_1.html
Doi	https://doi.org/10.13164/ma.2016.04
Field	General mathematics
Keywords	sup-lattice; quantale; Q-order; limit; colimit
Description	If standard concepts of partial-order relation and subset are fuzzified, taking valuation in a unital commutative quantale Q, corresponding concepts of joins and join-preserving mappings can be introduced. We present constructions of limits, colimits and Hom-objects in categories Q-Sup of Q-valued fuzzy join-semilattices, showing the analogy to the ordinary category Sup of join-semilattices.
Related projects:	New approaches to residuated posets