Browse > Article
http://dx.doi.org/10.4134/CKMS.2011.26.3.445

SOME COMMUTATIVITY THEOREMS OF PRIME RINGS WITH GENERALIZED (σ, τ)-DERIVATION  

Golbasi, Oznur (Department of Mathematics Faculty of Science Cumhuriyet University)
Koc, Emine (Department of Mathematics Faculty of Science Cumhuriyet University)
Publication Information
Communications of the Korean Mathematical Society / v.26, no.3, 2011 , pp. 445-454 More about this Journal
Abstract
In this paper, we extend some well known results concerning generalized derivations of prime rings to a generalized (${\sigma}$, ${\tau}$)-derivation.
Keywords
prime rings; derivations; generalized derivations; generalized (${\sigma}$, ${\tau}$)-derivations; centralizing mappings;
Citations & Related Records

Times Cited By SCOPUS : 0
연도 인용수 순위
  • Reference
1 Q. Deng and M. Ashraf, On strong commutativity preserving mappings, Results Math. 30 (1996), no. 3-4, 259-263.   DOI
2 N. Argac, A. Kaya, and A. Kisir, (${\sigma}$, ${\tau}$)-derivations in prime rings, Math. J. Okayama Univ. 29 (1987), 173-177.
3 M. Ashraf, A. Asma, and R. Rekha, On generalized derivations of prime rings, Southeast Asian Bull. Math. 29 (2005), no. 4, 669-675.
4 M. Ashraf, A. Asma, and A. Shakir, Some commutativity theorems for rings with generalized derivations, Southeast Asian Bull. Math. 31 (2007), no. 3, 415-421.
5 N. Aydin and K. Kaya, Some generalizations in prime rings with (${\sigma}$, ${\tau}$)-derivation, Doga Mat. 16 (1992), no. 3, 169-176.
6 H. E. Bell and M. N. Daif, On commutativity and strong commutativity-preserving maps, Canad. Math. Bull. 37 (1994), no. 4, 443-447.   DOI
7 H. E. Bell and W. S. Martindale, Centralizing mappings of semiprime rings, Canad. Math. Bull. 30 (1987), no. 1, 92-101.   DOI
8 M. Bresar, On the distance of the composition of two derivations to the generalized derivations, Glasgow Math. J. 33 (1991), no. 1, 89-93.   DOI
9 M. Bresar, Commuting traces of biadditive mappings, commutativity-preserving mappings and Lie mappings, Trans. Amer. Math. Soc. 335 (1993), no. 2, 525-546.   DOI   ScienceOn
10 J. C. Chang, On (${\alpha}$, ${\beta}$)-derivations of prime rings, Chinese Journal Math. 22 (1991), no. 1, 21-30.
11 M. N. Daif and H. E. Bell, Remarks on derivations on semiprime rings, Internat. J. Math. Math. Sci. 15 (1992), no. 1, 205-206.   DOI   ScienceOn