Browse > Article
http://dx.doi.org/10.4134/CKMS.2008.23.4.469

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)
Publication Information
Communications of the Korean Mathematical Society / v.23, no.4, 2008 , pp. 469-477 More about this Journal
Abstract
We introduce the notion of two-sided $\Gamma$-$\alpha$-derivation of a $\Gamma$-near-ring and give some generalizations of [1, 2].
Keywords
$\Gamma$-near-ring; prime $\Gamma$-near-ring; semiprime $\Gamma$-near-ring; two-sided $\Gamma$-$\alpha$-derivation;
Citations & Related Records
연도 인용수 순위
  • Reference
1 N. Argac, On near rings with two-sided $\alpha$-derivations, Turkish J. Math. 28 (2004), 195-204
2 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
3 N. Argac, On prime and semiprime near rings with derivations, Internat. J. Math. and Math. Sci. 20 (1997), no. 4, 737-740   DOI
4 W. E. Barnes, On the $\Gamma$-rings of Nobusawa, Pacific J. Math. 18 (1966), no. 3, 411-422   DOI
5 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
6 B. Satayanarayana, Contributions to Near-ring Theory, Doctoral Thesis, Nagarjuna University, India, 1984