BCL/BCL+-algebras [1, 2] are more extensive class than BCK/BCI/BCH-algebras [5-8], introduced by Yonghong Liu. In this paper, we aim to embed topological structure in BCL+-algebras, thus we should be introduced to the notion of “good taste”, which is both topological space and metric space. Thereupon, some fundamental properties of topological BCL+-algebras are obtained.
| Published in | Pure and Applied Mathematics Journal (Volume 3, Issue 1) |
| DOI | 10.11648/j.pamj.20140301.13 |
| Page(s) | 11-13 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2014. Published by Science Publishing Group |
BCL-Algebra, BCL+-Algebra, Topological BCL+-Algebra
| [1] | Y. H. Liu, "A New Branch of the Pure Algebra: BCL-Algebras", Advances in Pure Mathematics, vol. 1, no. 5, pp. 297-299, 2011. |
| [2] | Y. H. Liu, "On BCL+-Algebras", Advances in Pure Mathematics, vol. 2, no. 1, pp. 59-61, 2012. |
| [3] | A. K. Deena and H. Rodyna, "On BCL-Algebra", Journal of Advances in Mathematics, vol. 3, no. 2, pp. 184-190, 2013. |
| [4] | Y. H. Liu, "Partial Orders in BCL+-Algebra", Journal of Advances in Mathematics, vol. 5, no. 1, pp. 630-634, 2013. |
| [5] | Y. Imai and K. Iséki, "On Axiom System of Propositional Cal-culi XIV," Proceedings of the Japan Academy, vol. 42, no. 1, pp. 19-22, 1966. |
| [6] | K. Iséki, "An Algebra Related with a Propositional Calculus," Proceedings of the Japan Academy, vol. 42, no. 1, pp. 26-29, 1966. |
| [7] | K. Iseki, "On BCI-Algebras," Mathematics Seminar Notes (Kobe University), vol. 8, no. 1, pp. 125-130, 1980. |
| [8] | Q. P. Hu and X. Li, "On BCH-Algebras," Mathematics Seminar Notes (Kobe University), vol. 11, no. 2, pp. 313-320, 1983. |
APA Style
Yonghong Liu. (2014). Topological BCL+- Algebras. Pure and Applied Mathematics Journal, 3(1), 11-13. https://doi.org/10.11648/j.pamj.20140301.13
ACS Style
Yonghong Liu. Topological BCL+- Algebras. Pure Appl. Math. J. 2014, 3(1), 11-13. doi: 10.11648/j.pamj.20140301.13
AMA Style
Yonghong Liu. Topological BCL+- Algebras. Pure Appl Math J. 2014;3(1):11-13. doi: 10.11648/j.pamj.20140301.13
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Download@article{10.11648/j.pamj.20140301.13,
author = {Yonghong Liu},
title = {Topological BCL+- Algebras},
journal = {Pure and Applied Mathematics Journal},
volume = {3},
number = {1},
pages = {11-13},
doi = {10.11648/j.pamj.20140301.13},
url = {https://doi.org/10.11648/j.pamj.20140301.13},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20140301.13},
abstract = {BCL/BCL+-algebras [1, 2] are more extensive class than BCK/BCI/BCH-algebras [5-8], introduced by Yonghong Liu. In this paper, we aim to embed topological structure in BCL+-algebras, thus we should be introduced to the notion of “good taste”, which is both topological space and metric space. Thereupon, some fundamental properties of topological BCL+-algebras are obtained.},
year = {2014}
}
TY - JOUR T1 - Topological BCL+- Algebras AU - Yonghong Liu Y1 - 2014/03/20 PY - 2014 N1 - https://doi.org/10.11648/j.pamj.20140301.13 DO - 10.11648/j.pamj.20140301.13 T2 - Pure and Applied Mathematics Journal JF - Pure and Applied Mathematics Journal JO - Pure and Applied Mathematics Journal SP - 11 EP - 13 PB - Science Publishing Group SN - 2326-9812 UR - https://doi.org/10.11648/j.pamj.20140301.13 AB - BCL/BCL+-algebras [1, 2] are more extensive class than BCK/BCI/BCH-algebras [5-8], introduced by Yonghong Liu. In this paper, we aim to embed topological structure in BCL+-algebras, thus we should be introduced to the notion of “good taste”, which is both topological space and metric space. Thereupon, some fundamental properties of topological BCL+-algebras are obtained. VL - 3 IS - 1 ER -
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