On some basic constructions in categories of quantale-valued sup-lattices
| Authors | |
|---|---|
| Year of publication | 2016 |
| Type | Article in Periodical |
| Magazine / Source | Mathematics for Applications |
| MU Faculty or unit | |
| Citation | |
| Web | http://ma.fme.vutbr.cz/5_1.html |
| Doi | http://dx.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. |
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