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

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Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

Czech Republic

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

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

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Abstract

V originále

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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Links

GF15-34697L, research and development project

Name: Nové přístupy k reziduovaným posetům Investor: Czech Science Foundation, Partner Agency (Austria)