<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

Residuated skew lattices with modal operator

Department of Pure Mathematics, Faculty of Mathematics and Computer

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Residuated skew lattices with modal operator"}

In this paper, we define modal operators in residuated skew lattices and prove some fundamental properties of monotone modal operators on residuated skew...

Residuated skew lattices with modal operator

Published Online: Feb 04, 2023

Page range: 167 - 179

Received: Apr 04, 2022

Accepted: Aug 09, 2022

DOI: https://doi.org/10.2478/auom-2023-0008

Keywords
(Normal) Residuated skew lattice, modal operator, strong modal operator

© 2023 Roghayeh Koohnavard et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Residuated skew lattices with modal operator

Published Online: Feb 04, 2023

Page range: 167 - 179

Received: Apr 04, 2022

Accepted: Aug 09, 2022

DOI: https://doi.org/10.2478/auom-2023-0008

Keywords(Normal) Residuated skew lattice, modal operator, strong modal operator

© 2023 Roghayeh Koohnavard et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
(Normal) Residuated skew lattice, modal operator, strong modal operator