The p-semisimple property for some generalizations of BCI algebras and its applications
and | Dec 31, 2020
Published Online: Dec 31, 2020
Page range: 79 - 94
Received: Jun 25, 2019
Accepted: Oct 15, 2019
DOI: https://doi.org/10.2478/aupcsm-2020-0007
Keywords
© 2020 Lidia Obojska et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.
This paper presents some generalizations of BCI algebras (the RM, tRM, *RM, RM**, *RM**, aRM**, *aRM**, BCH**, BZ, pre-BZ and pre-BCI algebras). We investigate the p-semisimple property for algebras mentioned above; give some examples and display various conditions equivalent to p-semisimplicity. Finally, we present a model of mereology without antisymmetry (NAM) which could represent a tRM algebra.