[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2014.27.2.227

ON GENERALIZED DERIVATIONS OF BE-ALGEBRAS

Kim, Kyung Ho (Department of Mathematics Korea National University of Transportation)

Publication Information

Journal of the Chungcheong Mathematical Society / v.27, no.2, 2014 , pp. 227-236 More about this Journal

Abstract

In this paper, we introduce the notion of a generalized derivation in a BE-algebra, and consider the properties of generalized derivations. Also, we characterize the fixed set $Fix_d(X)$ and Kerd by generalized derivations. Moreover, we prove that if d is a generalized derivation of a BE-algebra, every filter F is a d-invariant.

Keywords

BE-algebra; generalized derivation; self-distributive; filter; isotone;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
Cited By KSCI

1	Q. P. Hu and X. Li, On BCH-algebras, Math. Seminar Notes 11 (1983), 313-320.
2	Q. P. Hu and X. Li, On proper BCH-algebras, Math Japonicae 30 (1985), 659-661.
3	K. Iseki and S. Tanaka, An introduction to theory of BCK-algebras, Math Japonicae 23 (1978), 1-20.
4	K. Iseki, On BCI-algebras, Math. Seminar Notes 8 (1980), 125-130.
5	K. H. Kim and S. M. Lee, On derivations of BE-algebras, Honam Mathematical Journal 36 (2014), no. 1, 167-178. DOI ScienceOn
6	K. H. Kim and S. M. Lee, On generalized f-derivations of BE-algebras, International Mathematical Forum 9 (11) (2014), 523-531. DOI
7	H. S. Kim and Y. H. Kim, On BE-algebras, Sci. Math. Japo. 66 (2007), no. 1, 113-116.
8	S. S. Ahn and K. S. So, On ideals and uppers in BE-algebras, Sci. Math. Japo. Online e-2008, 351-357.