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Title

The p-semisimple property for some generalizations of BCI algebras and its applications

Authors 1, 1

Affiliations

  1. Siedlce University of Natural Sciences and Humanities, Faculty of Exact and Natural Sciences

Abstract

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.

Keywords

ENG
RM/tRM/*RM/RM**/*aRM/BCI/BCH/BZ/pre-BZ/pre-BCI algebras, p-semisimplicity, mereology, antisymmetry

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Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
2020/19
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Pages:
79-94
Main language of publication
English
Published
2020-01-30