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Section A

On some generalizations of BCC-algebras

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Pages 1596-1616 | Received 28 Sep 2010, Accepted 04 May 2012, Published online: 07 Jun 2012
 

Abstract

We describe weak BCC-algebras (also called BZ-algebras) in which the condition (xy)z=(xz)y is satisfied only in the case when elements x and y belong to the same branch. We also characterize branchwise commutative and branchwise implicative weak BCC-algebras satisfying this condition. We also describe connections between various types of implicative weak BCC-algebras.

2010 AMS Subject Classifications :

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