BCI代数若干推广的p-半单性质及其应用

IF 0.1 Q4 MATHEMATICS

Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2020-02-17 DOI:10.2478/aupcsm-2020-0007

L. Obojska, A. Walendziak

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引用次数: 1

摘要

本文给出了BCI代数(RM, tRM， *RM, RM**， *RM**， aRM**， *aRM**， BCH**， BZ, pre-BZ和pre-BCI代数)的一些推广。我们研究了上述代数的p-半简单性质;给出一些例子，并给出等价于p-半简单性的各种条件。最后，我们给出了一个可以表示tRM代数的无反对称单流学(NAM)模型。

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

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.

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来源期刊

Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica MATHEMATICS-

自引率

11.10%

发文量

审稿时长

15 weeks