Publication details

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



Year of publication 2016
Type Article in Periodical
Magazine / Source Mathematics for Applications
MU Faculty or unit

Faculty of Science

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.
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