On BCL+-Algebras
Yonghong Liu
DOI: 10.4236/apm.2012.21012   PDF   HTML     4,038 Downloads   7,973 Views   Citations


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.

Share and Cite:

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

Conflicts of Interest

The authors declare no conflicts of interest.


[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

Copyright © 2020 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.