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학술저널

ON GENERALIZED DERIVATIONS OF BE-ALGEBRAS

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In this paper, we introduce the notion of a generalized derivation in a BE-algebra, and consider the properties of gen- eralized derivations. Also, we characterize the ¯xed set Fixd(X) and Kerd by generalized derivations. Moreover, we prove that if d is a generalized derivation of a BE-algebra, every ¯lter F is a d-invariant.

1. Introduction

2. Preliminaries

3. Generalized derivations of BE-algebras

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