BibTex RIS Cite
Year 2009, , 39 - 46, 01.08.2009
https://doi.org/10.1501/Commua1_0000000651

Abstract

References

  • Ashraf, M., Rehman, N. On derivations and commutativity in prime rings, East-West J. Math. 3(1), 2001, 87-91.
  • Ashraf, M., Asma, A., Shakir, A. Some commutativiy theorems for rings with generalized derivations, Southeast Asain Bull. of Math. 31, 2007, 415-421.
  • Argaç, N., Alba¸s, E. Generalized derivations of prime rings, Algebra Coll. 11(3), 2004, 399- 410.
  • Bergen, J., Herstein, I. N., Kerr, J. W. Lie ideals and derivation of prime rings, Journal of Algebra, 71, 1981, 259-267.
  • Bresar, M. On the distance of the composition of two derivations to the generalized deriva- tions, Glasgow Math. J., 33, 1991, 89-93.
  • Bresar, M. Centralizing mappings and derivations in prime ring, Journal of Algebra, 156, 1993, 385-394.
  • Gölba¸sı, Ö. On commutativity of semiprime rings with generalized derivations, (to appear Indiana Journal of Pure and Applied Math.)
  • Herstein, I. N. On the Lie structure of an assosiative ring, Journal of Algebra, 14, 1970, 561-771.
  • Herstein, I. N. A note on derivations, Canad. Math. Bull., 21(3), 1978, 369-370.
  • Lee, P. H., Lee, T. K. Lie ideals of prime rings with derivations, Bull. Institute of Math.
  • Academia Sinica, 11, 1983, 75-79.
  • Posner, E. C. Derivations in prime rings, Proc Amer. Math. Soc., 8, 1957, 1093-1100.
  • Rehman, N. On commutativity of rings with generalized derivations, Math. J. Okayama Univ. 44, 2002, 43-49.
  • Current address : Cumhuriyet University, Faculty of Arts and Science, Department of Mathe
  • matics, Sivas - TURKEY E-mail address : ogolbasi@cumhuriyet.edu.tr; eminekoc@cumhuriyet.edu.tr URL: http://www.cumhuriyet.edu.tr

NOTES ON COMMUTATIVITY OF PRIME RINGS WITH GENERALIZED DERIVATION

Year 2009, , 39 - 46, 01.08.2009
https://doi.org/10.1501/Commua1_0000000651

Abstract

In this paper, we extend the results concerning generalized derivations of prime rings in [2] and [8] for a nonzero Lie ideal of a prime ring R

References

  • Ashraf, M., Rehman, N. On derivations and commutativity in prime rings, East-West J. Math. 3(1), 2001, 87-91.
  • Ashraf, M., Asma, A., Shakir, A. Some commutativiy theorems for rings with generalized derivations, Southeast Asain Bull. of Math. 31, 2007, 415-421.
  • Argaç, N., Alba¸s, E. Generalized derivations of prime rings, Algebra Coll. 11(3), 2004, 399- 410.
  • Bergen, J., Herstein, I. N., Kerr, J. W. Lie ideals and derivation of prime rings, Journal of Algebra, 71, 1981, 259-267.
  • Bresar, M. On the distance of the composition of two derivations to the generalized deriva- tions, Glasgow Math. J., 33, 1991, 89-93.
  • Bresar, M. Centralizing mappings and derivations in prime ring, Journal of Algebra, 156, 1993, 385-394.
  • Gölba¸sı, Ö. On commutativity of semiprime rings with generalized derivations, (to appear Indiana Journal of Pure and Applied Math.)
  • Herstein, I. N. On the Lie structure of an assosiative ring, Journal of Algebra, 14, 1970, 561-771.
  • Herstein, I. N. A note on derivations, Canad. Math. Bull., 21(3), 1978, 369-370.
  • Lee, P. H., Lee, T. K. Lie ideals of prime rings with derivations, Bull. Institute of Math.
  • Academia Sinica, 11, 1983, 75-79.
  • Posner, E. C. Derivations in prime rings, Proc Amer. Math. Soc., 8, 1957, 1093-1100.
  • Rehman, N. On commutativity of rings with generalized derivations, Math. J. Okayama Univ. 44, 2002, 43-49.
  • Current address : Cumhuriyet University, Faculty of Arts and Science, Department of Mathe
  • matics, Sivas - TURKEY E-mail address : ogolbasi@cumhuriyet.edu.tr; eminekoc@cumhuriyet.edu.tr URL: http://www.cumhuriyet.edu.tr
There are 15 citations in total.

Details

Primary Language English
Journal Section Research Articles
Authors

Öznur Gölbaşı This is me

Emine Koç This is me

Publication Date August 1, 2009
Published in Issue Year 2009

Cite

APA Gölbaşı, Ö., & Koç, E. (2009). NOTES ON COMMUTATIVITY OF PRIME RINGS WITH GENERALIZED DERIVATION. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 58(2), 39-46. https://doi.org/10.1501/Commua1_0000000651
AMA Gölbaşı Ö, Koç E. NOTES ON COMMUTATIVITY OF PRIME RINGS WITH GENERALIZED DERIVATION. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. August 2009;58(2):39-46. doi:10.1501/Commua1_0000000651
Chicago Gölbaşı, Öznur, and Emine Koç. “NOTES ON COMMUTATIVITY OF PRIME RINGS WITH GENERALIZED DERIVATION”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 58, no. 2 (August 2009): 39-46. https://doi.org/10.1501/Commua1_0000000651.
EndNote Gölbaşı Ö, Koç E (August 1, 2009) NOTES ON COMMUTATIVITY OF PRIME RINGS WITH GENERALIZED DERIVATION. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 58 2 39–46.
IEEE Ö. Gölbaşı and E. Koç, “NOTES ON COMMUTATIVITY OF PRIME RINGS WITH GENERALIZED DERIVATION”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 58, no. 2, pp. 39–46, 2009, doi: 10.1501/Commua1_0000000651.
ISNAD Gölbaşı, Öznur - Koç, Emine. “NOTES ON COMMUTATIVITY OF PRIME RINGS WITH GENERALIZED DERIVATION”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 58/2 (August 2009), 39-46. https://doi.org/10.1501/Commua1_0000000651.
JAMA Gölbaşı Ö, Koç E. NOTES ON COMMUTATIVITY OF PRIME RINGS WITH GENERALIZED DERIVATION. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2009;58:39–46.
MLA Gölbaşı, Öznur and Emine Koç. “NOTES ON COMMUTATIVITY OF PRIME RINGS WITH GENERALIZED DERIVATION”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 58, no. 2, 2009, pp. 39-46, doi:10.1501/Commua1_0000000651.
Vancouver Gölbaşı Ö, Koç E. NOTES ON COMMUTATIVITY OF PRIME RINGS WITH GENERALIZED DERIVATION. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2009;58(2):39-46.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.