Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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ON GENERALIZED DERIVATIONS OF BE-ALGEBRAS

  • Kim, Kyung Ho (Department of Mathematics Korea National University of Transportation)
  • Received : 2014.01.13
  • Accepted : 2014.04.07
  • Published : 2014.05.15
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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.

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References

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