Some generalizations of p-semisimple BCI algebras and groups

被引:0
|
作者
Andrzej Walendziak
机构
[1] Siedlce University of Natural Sciences and Humanities,Faculty of Exact and Natural Sciences, Institute of Mathematics
来源
Soft Computing | 2020年 / 24卷
关键词
RM; aRM; aRM**; BZ; BCI algebra; Moon; Goop; p-semisimplicity;
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摘要
We introduce and investigate the strong p-semisimple property for some generalizations of BCI algebras. For BCI algebras, the strong p-semisimple property is equivalent to the p-semisimple property. We describe the connections of strongly p-semisimple algebras and various generalizations of groups (such as, for example, involutive moons and goops). Moreover, we present some examples of proper strongly p-semisimple algebras.
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页码:12781 / 12787
页数:6
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