Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
권호 표지
DOI QR코드

DOI QR Code

ON GENERALIZED RIGHT f-DERIVATIONS OF 𝚪-INCLINE ALGEBRAS

  • Kim, Kyung Ho (Department of Mathematics, Korea National University of Transportation)
  • Received : 2021.04.27
  • Accepted : 2021.05.08
  • Published : 2021.05.15
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, we introduce the concept of a generalized right f-derivation associated with a derivation d and a function f in 𝚪-incline algebras and give some properties of 𝚪-incline algebras. Also, the concept of d-ideal is introduced in a 𝚪-incline algebra with respect to right f-derivations.

Keywords

References

  1. S. S. Ahn, Y. B. Jun and H. S. Kim, Ideals and quotients of incline algebras, Commun. Korean Math. Soc., 16 (2001), 573-583.
  2. S. S. Ahn and H. S. Kim, On r-ideals in incline algebras, Commun. Korean Math. Soc., 17 (2002), 229-235. https://doi.org/10.4134/CKMS.2002.17.2.229
  3. N. O. Alshehri. On derivations of incline algebras, Sci. Math. Jpn. online, e-2010 (2010), 199-205.
  4. Z. Q. Cao, K. H. Kim and F. W. Roush, Incline algebra and applications, John Wiley and Sons, New York, 1984.
  5. K. H. Kim On right derivations of incline algebras, J. Chungcheong Math Soc., 26 (2013), 683-690. https://doi.org/10.14403/jcms.2013.26.4.683
  6. K. H. Kim, On generalized right derivations of incline algebras, Gulf J. Math., 3 (2015), 127-132.
  7. M. M. K. Rao and B. Venkateswarlu, On generalized right derivations of Γ-incline, J. Int. Math. Virtual Inst., 6 (2016), 31-47.
  8. W. Yao and S. Han, On ideals, filters and congruences in inclines, Bull. Korean Math., 46 (2009), no. 3, 591-598. https://doi.org/10.4134/BKMS.2009.46.3.591