Journal of the Chungcheong Mathematical Society (충청수학회지)

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

  • Kim, Kyung Ho (Department of Mathematics Korea National University of Transportation) ;
  • Davvaz, B. (Department of Mathematics, Yazd University)
  • Received : 2014.11.19
  • Accepted : 2015.01.27
  • Published : 2015.02.15
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Abstract

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

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References

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  1. Pseudo-BCI algebras with derivations vol.29, pp.8, 2019, https://doi.org/10.1093/logcom/exz027