TITLE:
A New Branch of the Pure Algebra: BCL-Algebras
AUTHORS:
Yonghong Liu
KEYWORDS:
Logic Algebra, BCK-Algebra, BCI-Algebra, BCH-Algebra, BCL-Algebra
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.1 No.5,
September
21,
2011
ABSTRACT: The BCK/BCI/BCH-algebras finds general algebra system than Boolean algebras system. This paper presents a novel class of algebras of type (2, 0) called BCL-algebras. We found the BCL-algebras to be more extensive class than BCK/BCI/BCH-algebras in the abstract algebra. The BCL-algebras as a class of logical algebras are the algebraic formulations of the set difference together with its properties in set theory and the propositional calculus in logical systems. It is important that the BCL-algebras play an independent role in the axiom algebra system.