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http://dx.doi.org/10.5831/HMJ.2014.36.1.167

ON DERIVATIONS OF BE-ALGEBRAS  

Kim, Kyung Ho (Department of Mathematics, Korea National University of transportation)
Lee, Sang Moon (Department of Computer Sciences, Korea National University of Transportation)
Publication Information
Honam Mathematical Journal / v.36, no.1, 2014 , pp. 167-178 More about this Journal
Abstract
In this paper, we introduce the notion of derivation in a BE-algebra, and consider the properties of derivations. Also, we characterize the fixed set $Fix_d(X)$ and Kerd by derivations. Moreover, we prove that if d is a derivation of BE-algebra, every filter F is a d-invariant.
Keywords
BE-algebra; derivation; self-distributive; filter; normal filter; isotone;
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