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@article{1376391, author = {Šlesinger, Radek}, article_number = {1}, doi = {http://dx.doi.org/10.13164/ma.2016.04}, keywords = {sup-lattice; quantale; Q-order; limit; colimit}, language = {eng}, issn = {1805-3610}, journal = {Mathematics for Applications}, title = {On some basic constructions in categories of quantale-valued sup-lattices}, url = {http://ma.fme.vutbr.cz/5_1.html}, volume = {5}, year = {2016} }
TY - JOUR ID - 1376391 AU - Šlesinger, Radek PY - 2016 TI - On some basic constructions in categories of quantale-valued sup-lattices JF - Mathematics for Applications VL - 5 IS - 1 SP - 39-53 EP - 39-53 PB - VUT v Brně SN - 18053610 KW - sup-lattice KW - quantale KW - Q-order KW - limit KW - colimit UR - http://ma.fme.vutbr.cz/5_1.html L2 - http://ma.fme.vutbr.cz/5_1.html N2 - 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. ER -
ŠLESINGER, Radek. On some basic constructions in categories of quantale-valued sup-lattices. \textit{Mathematics for Applications}. VUT v Brně, 2016, roč.~5, č.~1, s.~39-53. ISSN~1805-3610. Dostupné z: https://dx.doi.org/10.13164/ma.2016.04.
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