INVERTIBLE ELEMENTS IN BCK-ALGEBRAS
Keywords:
cyclic BCK-algebras, simple BCK-algebras, implicative BCK-algebras, J-semisimpleAbstract
In this article, we introduce the notion of cyclic BCK-algebra and study some of its main properties. In addition, we obtain a structure theorem for bounded commutative of finite order and use it to prove a Lagrange-like theorem for the above class of algebras. Finally, we use the notion of invertible elements to obtain a new characterization of implicative BCK-algebras and study the intersection of all maximal ideals of bounded BCK-algebras.
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Published
2014-12-29
How to Cite
MHeubo-Kwegna, O. A., & Nganou, J. B. (2014). INVERTIBLE ELEMENTS IN BCK-ALGEBRAS. Italian Journal of Pure and Applied Mathematics, 33, 81–92. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6271
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Section
Articoli - Forum Editrice
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Copyright (c) 2014 Olivier A. MHeubo-Kwegna, Jean B. Nganou
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)
