A New Branch of the Pure Algebra: BCL-Algebras - Advances in Pure Mathematics

APM > Vol.1 No.5, September 2011

Advances in Pure Mathematics

Volume 1, Issue 5 (September 2011)

ISSN Print: 2160-0368 ISSN Online: 2160-0384

Google-based Impact Factor: 0.48 Citations

A New Branch of the Pure Algebra: BCL-Algebras ()

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DOI: 10.4236/apm.2011.15054 8,034 Downloads 16,280 Views Citations

Author(s)

Yonghong Liu

Affiliation(s)

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.

KEYWORDS

Logic Algebra, BCK-Algebra, BCI-Algebra, BCH-Algebra, BCL-Algebra

Share and Cite:

Y. Liu, "A New Branch of the Pure Algebra: BCL-Algebras," Advances in Pure Mathematics, Vol. 1 No. 5, 2011, pp. 297-299. doi: 10.4236/apm.2011.15054.

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