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http://dx.doi.org/10.14403/jcms.2015.28.1.127

ON f-DERIVATIONS OF BE-ALGEBRAS  

Kim, Kyung Ho (Department of Mathematics Korea National University of Transportation)
Davvaz, B. (Department of Mathematics, Yazd University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.28, no.1, 2015 , pp. 127-138 More about this Journal
Abstract
In this paper, we introduce the notion of f-derivation in a BE-algebra, and consider the properties of f-derivations. Also, we characterize the fixed set $Fix_d(X)$ and Kerd by f-derivations. Moreover, we prove that if d is a f-derivation of a BE-algebra, every f-filter F is a a d-invariant.
Keywords
BE-algebra; self-distributive; filter(normal filter); derivation; f-derivation; isotone; Kerd;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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1 A. Firat, On f-derivations of BCC-algebras, Ars Combinatoria, XCVIIA (2010), 377-382.
2 Q. P. Hu and X. Li, On BCH-algebras, Math. Seminar Notes 11 (1983), 313-320.
3 Q. P. Hu and X. Li, On proper BCH-algebras, Math Japonicae 30 (1985), 659-661.
4 K. Iseki and S. Tanaka, An introduction to theory of BCK-algebras, Math. Japonicae 23 (1978), 1-20.
5 K. Iseki, On BCI-algebras, Math. Seminar Notes 8 (1980), 125-130.
6 K. H. Kim and S. M. Lee, On derivations of BE-algebras, Honam Mathematical Journal 36 (2014), no. 1, 167-178.   DOI   ScienceOn
7 S. S. Ahn and K. S. So, On ideals and uppers in BE-algebras, Sci. Math. Japo. Online e-2008, 351-357.