Residuated skew lattices with modal operator
Abstract
In this paper, we define modal operators in residuated skew lattices and prove some fundamental properties of monotone modal operators on residuated skew lattices (RSL). We prove that the composition of two modal operators is a modal operator if and only if they commute. We investigate strong modal operators in RSL and get a characterization of them. Deductive systems under a modal operator are investigated.
Language: English
Page range: 167 - 179
Submitted on: Apr 4, 2022
Accepted on: Aug 9, 2022
Published on: Feb 4, 2023
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year
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© 2023 Roghayeh Koohnavard, Arsham Borumand Saeid, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.