On some basic constructions in categories of quantale-valued sup-lattices
| Autoři | |
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| Rok publikování | 2016 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Mathematics for Applications |
| Fakulta / Pracoviště MU | |
| Citace | ŠLESINGER, Radek. On some basic constructions in categories of quantale-valued sup-lattices. 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. |
| www | http://ma.fme.vutbr.cz/5_1.html |
| Doi | http://dx.doi.org/10.13164/ma.2016.04 |
| Obor | Obecná matematika |
| Klíčová slova | sup-lattice; quantale; Q-order; limit; colimit |
| Popis | 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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