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Bipartite pseudo-BL algebras

Walendziak A., Wojciechowska-Rysiawa M.

Demonstratio Mathematica

2010

Vol. 43, nr 3

487-496

The class of bipartite pseudo-BL algebras (denoted by BP) and the class of strongly bipartite pseudo-BL algebras (denoted by BP0) are investigated. We prove that the class BP0 is a variety and show that BP is closed under subalgebras and arbitrary direct products but it is not a variety. We also study connections between bipartite pseudo-BL algebras and other classes of pseudo-BL algebras.