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On multiplicative (generalized)-derivations in semiprime rings

Year 2017, Volume: 66 Issue: 1, 153 - 164, 01.02.2017
https://doi.org/10.1501/Commua1_0000000784

References

  • Dhara B. and Ali S., On multiplicative (generalized)-derivations in prime and semiprime rings, Aequat. Math. (2013); 86(1 ); 65
  • Herstein I. N., Rings with involution, The University of Chicago Press, Chicago, 1976.
  • Bresar M., On the distance of the composition of two derivations to the generalized deriva- Daif M. N., When a multiplicative derivation is additive, Int. J. Math.&Math. Sci. (1991), (3); 615
  • Daif M. N. and El-Sayiad M. S. T., Multiplicative generalized derivations which are additive, East-west J. Math. (1997); 9(1); 31
  • El Sayiad M. S. T., Daif M. N. and Filippis V.D., Multiplicativity of left centralizers forcing additivity, Bol. Soc. Paran. Mat. (2014); 32(1); 61
  • Ashraf M. and Rehman N., On derivations and commutativity in prime rings, East-west J. Math.(2001); 3(1); 87
  • Ashraf M., Ali A. and Ali S., Some commutativity theorems for rings with generalized deriva- tions, Southeast Asian Bull. Math. (2007); 31; 415
  • Daif M. N. and Bell H. E., Remarks on derivations on semiprime rings, Int.J.Math.&Math. Sci. (1992); 15(1); 205
  • Quadri M. A., Khan M. S. and Rehman N., Generalized derivations and commutativity of prime rings, Indian J.Pure Appl.Math. (2003); 34(9); 1393
  • Dhara B., Remarks on generalized derivations in prime and semiprime rings, Int. J. Math.&Math. Sci. (2010); 2010; Article ID 646587, 6 pages.
  • Ali A., Filippis V. D. and Shujat F., On one sided ideals of a semiprime ring with generalized derivations, Aequat. Math. (2013); 85(3); 529
  • Posner E. C., Derivations in prime rings, Proc. Amer. Math. Soc. (1957); 8; 1093
  • Ali A., Dhara B., Khan S. and Ali F., Multiplicative (generalized)-derivations and left ideals in semiprime rings, Hacettepe J. Math. Stat. (2015); 44(6); 1293
  • Current address : Didem K. Camcı: Çanakkale Onsekiz Mart University Dept. Math. Çanakkale TURKEY E-mail address : didemk@comu.edu.tr Current address : Ne¸set Aydın: Çanakkale Onsekiz Mart University Dept. Math. Çanakkale - TURKEY E-mail address : neseta@comu.edu.tr
Year 2017, Volume: 66 Issue: 1, 153 - 164, 01.02.2017
https://doi.org/10.1501/Commua1_0000000784

References

  • Dhara B. and Ali S., On multiplicative (generalized)-derivations in prime and semiprime rings, Aequat. Math. (2013); 86(1 ); 65
  • Herstein I. N., Rings with involution, The University of Chicago Press, Chicago, 1976.
  • Bresar M., On the distance of the composition of two derivations to the generalized deriva- Daif M. N., When a multiplicative derivation is additive, Int. J. Math.&Math. Sci. (1991), (3); 615
  • Daif M. N. and El-Sayiad M. S. T., Multiplicative generalized derivations which are additive, East-west J. Math. (1997); 9(1); 31
  • El Sayiad M. S. T., Daif M. N. and Filippis V.D., Multiplicativity of left centralizers forcing additivity, Bol. Soc. Paran. Mat. (2014); 32(1); 61
  • Ashraf M. and Rehman N., On derivations and commutativity in prime rings, East-west J. Math.(2001); 3(1); 87
  • Ashraf M., Ali A. and Ali S., Some commutativity theorems for rings with generalized deriva- tions, Southeast Asian Bull. Math. (2007); 31; 415
  • Daif M. N. and Bell H. E., Remarks on derivations on semiprime rings, Int.J.Math.&Math. Sci. (1992); 15(1); 205
  • Quadri M. A., Khan M. S. and Rehman N., Generalized derivations and commutativity of prime rings, Indian J.Pure Appl.Math. (2003); 34(9); 1393
  • Dhara B., Remarks on generalized derivations in prime and semiprime rings, Int. J. Math.&Math. Sci. (2010); 2010; Article ID 646587, 6 pages.
  • Ali A., Filippis V. D. and Shujat F., On one sided ideals of a semiprime ring with generalized derivations, Aequat. Math. (2013); 85(3); 529
  • Posner E. C., Derivations in prime rings, Proc. Amer. Math. Soc. (1957); 8; 1093
  • Ali A., Dhara B., Khan S. and Ali F., Multiplicative (generalized)-derivations and left ideals in semiprime rings, Hacettepe J. Math. Stat. (2015); 44(6); 1293
  • Current address : Didem K. Camcı: Çanakkale Onsekiz Mart University Dept. Math. Çanakkale TURKEY E-mail address : didemk@comu.edu.tr Current address : Ne¸set Aydın: Çanakkale Onsekiz Mart University Dept. Math. Çanakkale - TURKEY E-mail address : neseta@comu.edu.tr
There are 14 citations in total.

Details

Primary Language English
Journal Section Research Articles
Authors

K. Didem Camcı This is me

Neşet Aydın This is me

Publication Date February 1, 2017
Published in Issue Year 2017 Volume: 66 Issue: 1

Cite

APA Camcı, K. D., & Aydın, N. (2017). On multiplicative (generalized)-derivations in semiprime rings. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 66(1), 153-164. https://doi.org/10.1501/Commua1_0000000784
AMA Camcı KD, Aydın N. On multiplicative (generalized)-derivations in semiprime rings. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. February 2017;66(1):153-164. doi:10.1501/Commua1_0000000784
Chicago Camcı, K. Didem, and Neşet Aydın. “On Multiplicative (generalized)-Derivations in Semiprime Rings”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66, no. 1 (February 2017): 153-64. https://doi.org/10.1501/Commua1_0000000784.
EndNote Camcı KD, Aydın N (February 1, 2017) On multiplicative (generalized)-derivations in semiprime rings. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66 1 153–164.
IEEE K. D. Camcı and N. Aydın, “On multiplicative (generalized)-derivations in semiprime rings”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 66, no. 1, pp. 153–164, 2017, doi: 10.1501/Commua1_0000000784.
ISNAD Camcı, K. Didem - Aydın, Neşet. “On Multiplicative (generalized)-Derivations in Semiprime Rings”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66/1 (February 2017), 153-164. https://doi.org/10.1501/Commua1_0000000784.
JAMA Camcı KD, Aydın N. On multiplicative (generalized)-derivations in semiprime rings. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2017;66:153–164.
MLA Camcı, K. Didem and Neşet Aydın. “On Multiplicative (generalized)-Derivations in Semiprime Rings”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 66, no. 1, 2017, pp. 153-64, doi:10.1501/Commua1_0000000784.
Vancouver Camcı KD, Aydın N. On multiplicative (generalized)-derivations in semiprime rings. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2017;66(1):153-64.

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

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