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Article type: Research Article
Authors: Najafi, Ardavana | Borumand Saeid, Arshamb; * | Eslami, Esfandiarb
Affiliations: [a] Department of Mathematic, Islamic Azad University, Behbahan Branch, Behbahan, Iran | [b] Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
Correspondence: [*] Corresponding author. Arsham Borumand Saeid, Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran. Tel.: +98 34 31322490; E-mail: arsham@uk.ac.ir.
Abstract: In this paper, the notions of commutators and pseudo commutators of elements (subsets) of a BCI-algebra are introduced and some properties are given. The concept of solvable BCI-algebras are also discussed and their properties are investigated. It is proved that the class of solvable BCI-algebras is closed under sub-algebra, cartesian product and inverse image operations.
Keywords: BCI-algebras, (pseudo) commutators, derived sub-algebra, solvable BCI-algebras
DOI: 10.3233/IFS-162148
Journal: Journal of Intelligent & Fuzzy Systems, vol. 31, no. 1, pp. 357-366, 2016
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