Multiplicative and implicative derivations on residuated multilattices
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In this paper, we extend the study of derivations on residuated lattices to residuated multilattices. Special types of derivations (implicative and multiplicative) and their connections with the complemented elements are investigated. In particular, one obtains that the good ideal derivations of a bounded residuated multilattice are completely determined by its complemented elements. Supporting examples of all the notions treated are also included.
KeywordsMultilattice Residuated multilattice Derivation Complemented elements Ideal derivation
The authors are grateful to the referees whose comments improved the content and the presentation of the paper.
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Conflict of interest
The authors declare that they have no conflict of interest.