On BCL^{+}-Algebras

Author(s)
Yonghong Liu

ABSTRACT

This paper presents the BCL^{+}-algebras, which is derived the fundamental properties. Results are generalized with version of BCL-algebras [5], using some unusual for a binary relation * and a constant 1 (one) in a non-empty set *X*, one may take different axiom systems for BCL^{+}-algebras.

This paper presents the BCL

Cite this paper

Y. Liu, "On BCL^{+}-Algebras," *Advances in Pure Mathematics*, Vol. 2 No. 1, 2012, pp. 59-61. doi: 10.4236/apm.2012.21012.

Y. Liu, "On BCL

References

[1] Y. Imai and K. Iséki, “On Axiom System of Propositional Calculi XIV,” Proceedings of the Japan Academy, Vol. 42, No. 1, 1966, pp. 19-22. doi:10.3792/pja/1195522169

[2] K. Iséki, “An Algebra Related with a Propositional Calculus,” Proceedings of the Japan Academy, Vol. 42, No. 1, 1966, pp. 26-29. doi:10.3792/pja/1195522171

[3] K. Iseki, “On BCI-Algebras,” Mathematics Seminar Notes (Kobe University), Vol. 8, No. 1, 1980, pp. 125-130.

[4] Q. P. Hu and X. Li, “On BCH-Algebras,” Mathematics Seminar Notes (Kobe University), Vol. 11, No. 2, 1983, pp. 313-320.

[5] Y. H. 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

[1] Y. Imai and K. Iséki, “On Axiom System of Propositional Calculi XIV,” Proceedings of the Japan Academy, Vol. 42, No. 1, 1966, pp. 19-22. doi:10.3792/pja/1195522169

[2] K. Iséki, “An Algebra Related with a Propositional Calculus,” Proceedings of the Japan Academy, Vol. 42, No. 1, 1966, pp. 26-29. doi:10.3792/pja/1195522171

[3] K. Iseki, “On BCI-Algebras,” Mathematics Seminar Notes (Kobe University), Vol. 8, No. 1, 1980, pp. 125-130.

[4] Q. P. Hu and X. Li, “On BCH-Algebras,” Mathematics Seminar Notes (Kobe University), Vol. 11, No. 2, 1983, pp. 313-320.

[5] Y. H. 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