Research Article

On a Theorem of Posner for 3-Prime Near-Rings with (s, t) - Derivation

Volume: 36 Number: 1 January 1, 2007
  • Ö. Gölbaşı
EN

On a Theorem of Posner for 3-Prime Near-Rings with (s, t) - Derivation

Abstract

The analog of Posner’s theorem on the composition of two derivations in prime rings is proved for 3–prime near-rings with d1 a (σ, τ )–derivation and d2 a derivation.

Keywords

References

  1. Beidar, K. I., Fong, Y. and Wang, X. K. Posner and Herstein Theorems for derivations of 3–prime near-rings, Communications in Algebra 24 (5), 1581–1589, 1996.
  2. Bell, H. E. and Arga¸c, N. Derivations, products of derivations and commutativity in near- rings, Algebra Colloquium 8 4, 399–407, 2001.
  3. Bell, H. E. and Mason G. On Derivations in Near-rings, Near-rings and Near-fields (North- Holland Mathematical Studies 137, 1987).
  4. G¨olba¸sı, ¨O. and Aydın, N. Results on prime near-rings with (σ, τ )–derivation, Mathematical Journal of Okayama University 46, 1–7, 2004.
  5. Pilz, G. Near-rings, 2nd Ed. (North Holland, Amsterdam, 1983).
  6. Posner, E. C. Derivations in prime rings, Proc. Amer. Math. Soc. 8, 1093–1100, 1957.

Details

Primary Language

English

Subjects

Statistics

Journal Section

Research Article

Authors

Ö. Gölbaşı This is me

Publication Date

January 1, 2007

Submission Date

May 12, 2014

Acceptance Date

-

Published in Issue

Year 2007 Volume: 36 Number: 1

APA
Gölbaşı, Ö. (2007). On a Theorem of Posner for 3-Prime Near-Rings with (s, t) - Derivation. Hacettepe Journal of Mathematics and Statistics, 36(1), 43-47. https://izlik.org/JA72DC94RP
AMA
1.Gölbaşı Ö. On a Theorem of Posner for 3-Prime Near-Rings with (s, t) - Derivation. Hacettepe Journal of Mathematics and Statistics. 2007;36(1):43-47. https://izlik.org/JA72DC94RP
Chicago
Gölbaşı, Ö. 2007. “On a Theorem of Posner for 3-Prime Near-Rings With (s, T) - Derivation”. Hacettepe Journal of Mathematics and Statistics 36 (1): 43-47. https://izlik.org/JA72DC94RP.
EndNote
Gölbaşı Ö (January 1, 2007) On a Theorem of Posner for 3-Prime Near-Rings with (s, t) - Derivation. Hacettepe Journal of Mathematics and Statistics 36 1 43–47.
IEEE
[1]Ö. Gölbaşı, “On a Theorem of Posner for 3-Prime Near-Rings with (s, t) - Derivation”, Hacettepe Journal of Mathematics and Statistics, vol. 36, no. 1, pp. 43–47, Jan. 2007, [Online]. Available: https://izlik.org/JA72DC94RP
ISNAD
Gölbaşı, Ö. “On a Theorem of Posner for 3-Prime Near-Rings With (s, T) - Derivation”. Hacettepe Journal of Mathematics and Statistics 36/1 (January 1, 2007): 43-47. https://izlik.org/JA72DC94RP.
JAMA
1.Gölbaşı Ö. On a Theorem of Posner for 3-Prime Near-Rings with (s, t) - Derivation. Hacettepe Journal of Mathematics and Statistics. 2007;36:43–47.
MLA
Gölbaşı, Ö. “On a Theorem of Posner for 3-Prime Near-Rings With (s, T) - Derivation”. Hacettepe Journal of Mathematics and Statistics, vol. 36, no. 1, Jan. 2007, pp. 43-47, https://izlik.org/JA72DC94RP.
Vancouver
1.Ö. Gölbaşı. On a Theorem of Posner for 3-Prime Near-Rings with (s, t) - Derivation. Hacettepe Journal of Mathematics and Statistics [Internet]. 2007 Jan. 1;36(1):43-7. Available from: https://izlik.org/JA72DC94RP