ON CHARACTERIZATIONS OF BL-ALGEBRAS VIA IMPLICATIVE IDEALS
Keywords:
BL-algebra, Boolean ideal, implicative ideal, maximal idealAbstract
In the paper, we introduce the concept of implicative ideals in BL-algebras by the pseudo implication operation and show some characterizations of ideals. We prove that implicative ideals coincide with Boolean ideals through analyzing the characterizations of implicative ideals. Finally, we consider the concepts of maximal ideals and investigate the relationships among the introduced ideals.
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Published
2017-01-31
How to Cite
Yang, Y., & Xin, X. (2017). ON CHARACTERIZATIONS OF BL-ALGEBRAS VIA IMPLICATIVE IDEALS. Italian Journal of Pure and Applied Mathematics, 37, 493–506. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6683
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Section
Articoli - Forum Editrice
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Copyright (c) 2017 Yongwei Yang, Xiaolong Xin
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
