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A New Branch of the Pure Algebra: BCL-Algebras

Author(s): Yonghong Liu

Journal: Advances in Pure Mathematics
ISSN 2160-0368

Volume: 01;
Issue: 05;
Start page: 297;
Date: 2011;
Original page

Keywords: Logic Algebra | BCK-Algebra | BCI-Algebra | BCH-Algebra | BCL-Algebra

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.
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