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Quantale-valued sup-algebras

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F18%3A00100755" target="_blank" >RIV/00216224:14310/18:00100755 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.22111/ijfs.2017.3440" target="_blank" >http://dx.doi.org/10.22111/ijfs.2017.3440</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.22111/ijfs.2017.3440" target="_blank" >10.22111/ijfs.2017.3440</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Quantale-valued sup-algebras

  • Original language description

    Based on the notion of Q-sup-lattices (a fuzzy counterpart of complete join-semilattices valuated in a commutative quantale), we present the concept of Q-sup-algebras - Q-sup-lattices endowed with a collection of finitary operations compatible with the fuzzy joins. Similarly to the crisp case investigated by Zhang and Laan, we characterize their subalgebras and quotients, and following Solovyov, we show that the category of Q-sup-algebras is isomorphic to a certain subcategory of a category of Q-modules.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>ost</sub> - Miscellaneous article in a specialist periodical

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GF15-34697L" target="_blank" >GF15-34697L: New perspectives on residuated posets</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2018

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Iranian Journal of Fuzzy Systems

  • ISSN

    1735-0654

  • e-ISSN

  • Volume of the periodical

    15

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    IR - IRAN, ISLAMIC REPUBLIC OF

  • Number of pages

    21

  • Pages from-to

    53-73

  • UT code for WoS article

  • EID of the result in the Scopus database