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A New Branch of the Pure Algebra: BCL-Algebras

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DOI: 10.4236/apm.2011.15054    6,775 Downloads   13,883 Views   Citations
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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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

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.

References

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