Publication details

Quantale-valued sup-algebras

Authors

ŠLESINGER Radek

Year of publication 2018
Type Article in Periodical
Magazine / Source Iranian Journal of Fuzzy Systems
MU Faculty or unit

Faculty of Science

Citation
Web http://dx.doi.org/10.22111/ijfs.2017.3440
Doi http://dx.doi.org/10.22111/ijfs.2017.3440
Field General mathematics
Keywords Q-order; Q-sup-lattice; Q-ordered algebra; Q-sup-algebra; quotient; subalgebra
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.
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