Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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TWO-SIDED Γ-α-DERIVATIONS IN PRIME AND SEMIPRIME Γ-NEAR-RINGS

  • Kazaz, Mustafa (DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCE UNIVERSITY OF CELAL BAYAR) ;
  • Alkan, Akin (DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCE UNIVERSITY OF CELAL BAYAR)
  • Published : 2008.10.31
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Abstract

We introduce the notion of two-sided $\Gamma$-$\alpha$-derivation of a $\Gamma$-near-ring and give some generalizations of [1, 2].

Keywords

References

  1. N. Argac, On near rings with two-sided $\alpha$-derivations, Turkish J. Math. 28 (2004), 195-204
  2. N. Argac, On prime and semiprime near rings with derivations, Internat. J. Math. and Math. Sci. 20 (1997), no. 4, 737-740 https://doi.org/10.1155/S0161171297001002
  3. W. E. Barnes, On the $\Gamma$-rings of Nobusawa, Pacific J. Math. 18 (1966), no. 3, 411-422 https://doi.org/10.2140/pjm.1966.18.411
  4. Y. U. Cho and Y. B. Jun, Gamma-derivation in prime and semiprime gamma-near-rings, Indian J. Pure Appl. Math. 33 (2002), no. 10, 1489-1494
  5. B. Satayanarayana, Contributions to Near-ring Theory, Doctoral Thesis, Nagarjuna University, India, 1984
  6. Y. B. Jun, K. H. Kim, and Y. U. Cho, On gamma-derivations in gamma near-rings, Soochow J. Math. 29 (2003), no. 3, 275-282

Cited by

  1. On Prime-Gamma-Near-Rings with Generalized Derivations vol.2012, 2012, https://doi.org/10.1155/2012/625968