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

Ö. Gölbaşı

Research Article

Year 2007, Volume: 36 Issue: 1, 43 - 47, 01.01.2007

Ö. Gölbaşı

Abstract

References

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.
Bell, H. E. and Arga¸c, N. Derivations, products of derivations and commutativity in near- rings, Algebra Colloquium 8 4, 399–407, 2001.
Bell, H. E. and Mason G. On Derivations in Near-rings, Near-rings and Near-fields (North- Holland Mathematical Studies 137, 1987).
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.
Pilz, G. Near-rings, 2nd Ed. (North Holland, Amsterdam, 1983).
Posner, E. C. Derivations in prime rings, Proc. Amer. Math. Soc. 8, 1093–1100, 1957.

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

Year 2007, Volume: 36 Issue: 1, 43 - 47, 01.01.2007

Ö. Gölbaşı

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

3–prime near-rings, Commutativity, 2000 AMS Classification: 16 Y 30

References

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.
Bell, H. E. and Arga¸c, N. Derivations, products of derivations and commutativity in near- rings, Algebra Colloquium 8 4, 399–407, 2001.
Bell, H. E. and Mason G. On Derivations in Near-rings, Near-rings and Near-fields (North- Holland Mathematical Studies 137, 1987).
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.
Pilz, G. Near-rings, 2nd Ed. (North Holland, Amsterdam, 1983).
Posner, E. C. Derivations in prime rings, Proc. Amer. Math. Soc. 8, 1093–1100, 1957.

There are 6 citations in total.

Details

Primary Language	English
Subjects	Statistics
Journal Section	Mathematics
Authors	Ö. Gölbaşı This is me
Publication Date	January 1, 2007
Published in Issue	Year 2007 Volume: 36 Issue: 1

Cite

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.
AMA	Gölbaşı Ö. On a Theorem of Posner for 3-Prime Near-Rings with (s, t) - Derivation. Hacettepe Journal of Mathematics and Statistics. January 2007;36(1):43-47.
Chicago	Gölbaşı, Ö. “On a Theorem of Posner for 3-Prime Near-Rings With (s, T) - Derivation”. Hacettepe Journal of Mathematics and Statistics 36, no. 1 (January 2007): 43-47.
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	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, 2007.
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 2007), 43-47.
JAMA	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, 2007, pp. 43-47.
Vancouver	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):43-7.