Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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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)
  • Received : 2013.12.26
  • Accepted : 2014.01.09
  • Published : 2014.03.25
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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.

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References

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Cited by

  1. ON GENERALIZED DERIVATIONS OF BE-ALGEBRAS vol.27, pp.2, 2014, https://doi.org/10.14403/jcms.2014.27.2.227
  2. ON f-DERIVATIONS OF BE-ALGEBRAS vol.28, pp.1, 2015, https://doi.org/10.14403/jcms.2015.28.1.127