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

ŠLESINGER, Radek. On some basic constructions in categories of quantale-valued sup-lattices. Mathematics for Applications. VUT v Brně, 2016, vol. 5, No 1, p. 39-53. ISSN 1805-3610. Available from: https://dx.doi.org/10.13164/ma.2016.04.

Basic information

• Original name: On some basic constructions in categories of quantale-valued sup-lattices
• Authors: ŠLESINGER, Radek (203 Czech Republic, guarantor, belonging to the institution).
• Edition: Mathematics for Applications, VUT v Brně, 2016, 1805-3610.

Other information

• Original language: English
• Type of outcome: Article in a journal
• Field of Study: 10101 Pure mathematics
• Country of publisher: Czech Republic
• Confidentiality degree: is not subject to a state or trade secret
• WWW: URL
• RIV identification code: RIV/00216224:14310/16:00088798
• Organization unit: Faculty of Science
• Doi: http://dx.doi.org/10.13164/ma.2016.04
• Keywords (in Czech): sup-svaz; kvantál; Q-uspořádání; limita; kolimita
• Keywords in English: sup-lattice; quantale; Q-order; limit; colimit
• Tags: AKR, rivok
• Tags: International impact, Reviewed

Abstract

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.

Links

• GF15-34697L, research and development project: Name: Nové přístupy k reziduovaným posetům

Investor: Czech Science Foundation