On branchwise commutative pseudo-BCH algebras

Andrzej Walendziak

Abstract


Basic properties of branches of pseudo-BCH algebras are described. Next, the concept of a branchwise commutative pseudo-BCH algebra is introduced. Some conditions equivalent to branchwise commutativity are given. It is proved that every branchwise commutative pseudo-BCH algebra is a pseudo-BCI algebra.

Keywords


(Pseudo-)BCK/BCI/BCH-algebra; atom; branch; branchwise commutativity

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References


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DOI: http://dx.doi.org/10.17951/a.2017.71.2.79
Date of publication: 2017-12-18 20:31:34
Date of submission: 2017-12-17 11:20:56


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