(σ,τ )– (J,R) – DERIVATIONS ON JORDAN IDEALS

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Ikram A. Saed

Abstract

Let R be an associative ring with center Z(R). A well known results proved by Bell and kappe concering derivations in prime rings have been extensively studied by many authors, several of these outhers extended these result for a - derivation like Yenigual and Argac and some of them extended these results for a (σ,τ )– (J,R)  – derivations like M. Asharf.


            The main purpose of this paper is to study the action of a (σ,τ )– (J,R) – derivation and a left (σ,τ )– (J,R) – derivation and (σ,τ )– (J,R) – derivation on Jordan ideals.

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(σ,τ )– (J,R) – DERIVATIONS ON JORDAN IDEALS. Baghdad Sci.J [Internet]. 2009 Jun. 7 [cited 2024 Oct. 19];6(2):410-2. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/11884
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How to Cite

1.
(σ,τ )– (J,R) – DERIVATIONS ON JORDAN IDEALS. Baghdad Sci.J [Internet]. 2009 Jun. 7 [cited 2024 Oct. 19];6(2):410-2. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/11884

References

Ashraf, M. 2005. On left (,) – derivations of prime rings. Archivum Mathematicum (Vron). Tomus 41:157 – 166.

Bell, H. E. and Kappe. L. C. 1989. Rings in which derivations satisfy certain algebraic conditions Acta Math. Hungar 53: 339 – 346.

Herestein, I. N. 1965. Topics in ring theory. The University of Chicago Press, ed. No.1, Chicago, PP. 74.

Herestein, I. N. 1976. Rings with involution. The University of Chicago Press, ed. No.2, Chicago, PP. 34.

HAMDI,A. D. 2007. (σ,τ ) – Derivations On prime rings. M. Sc. Thesis, Baghdad University.

Jung, Y. S. and Park. K. H. 2006. On generalized (,) – derivations and commutivity in prime rings. Bull Korean Math. Soc. 43: 10 – 106.

Yengul, S. A. and Argac. N. A. 1994. On prime and semiprime rings with  – derivations. Turkish J. Math. 18: 280 – 284.

Zaid, S. M. A., Ashraf. M. and Ali. S. 2004. On Jordan ideals and left () – derivations in prime rings. IJMMS 37: 1957 – 1964.

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