We describe weak BCC-algebras (called also BZ-algebras) in which thecondition (xy)z = (xz)y is satised only in the case when elements x, y belong tothe same branch. We also characterize quasi-commutative weak BCC-algebras varioustypes
We describe derivations of weak BCC-algebras (called also BZ-algebras) inwhich the condition (xy)z = (xz)y is satisfied only in the case when elements x, y belongto the same branch.