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Quantale-valued sup-algebras

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ŠLESINGER Radek

Druh Článek v odborném periodiku
Časopis / Zdroj Iranian Journal of Fuzzy Systems
Fakulta / Pracoviště MU

Přírodovědecká fakulta

Citace
Doi http://dx.doi.org/10.22111/ijfs.2017.3440
Obor Obecná matematika
Klíčová slova Q-order; Q-sup-lattice; Q-ordered algebra; Q-sup-algebra; quotient; subalgebra
Popis 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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