Zpráva o výsledcích vědecko-výzkumné a vývojové činnosti na VŠB-TU Ostrava za rok 2018 : určeno pro zasedání Vědecké rady VŠB-TUO dne 1. 3. 2019

Ostrav

Derivations on algebras of a non-commutative generalization of the Łukasiewicz logic

GMV-algebras are a non-commutative generalization of MV-algebras and are an algebraic semantics of the non-commutative Lukasiewicz infinite valued propositional fuzzy logic. In the paper, derivations on GMV-algebras (which are formally introduced in the same manner as derivations on rings) are investigated. A complete description of all derivations on any GMV-algebra is given.Web of Science333161