On ideals of pseudo-BCH-algebras

Andrzej Walendziak

Abstract


In this paper we introduce the notion of a disjoint union of pseudo-BCH-algebras and describe ideals in such algebras. We also investigate ideals of direct products of pseudo-BCH-algebras. Moreover, we establish conditions for the set of all minimal elements of a pseudo-BCH-algebra X to be an ideal of X.

Keywords


(Pseudo-)BCK/BCI/BCH-algebra; disjoint union; ideal; centre

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References


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DOI: http://dx.doi.org/10.17951/a.2016.70.1.81
Date of publication: 2016-07-04 15:44:01
Date of submission: 2016-07-01 21:12:29


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