H. Majeed, A., I. Meften, M. (2009). On -Centralizers of Prime and Semiprime Rings. , 1(1), 1-9.
Abdulrahman H. Majeed; Mushreq I. Meften. "On -Centralizers of Prime and Semiprime Rings". , 1, 1, 2009, 1-9.
H. Majeed, A., I. Meften, M. (2009). 'On -Centralizers of Prime and Semiprime Rings', , 1(1), pp. 1-9.
H. Majeed, A., I. Meften, M. On -Centralizers of Prime and Semiprime Rings. , 2009; 1(1): 1-9.

On -Centralizers of Prime and Semiprime Rings

Journal of Al-Qadisiyah for Computer Science and Mathematics
Article 1, Volume 1, Issue 1, 2009, Pages 1-9    PDF (0 K)
Authors
Abdulrahman H. Majeed; Mushreq I. Meften
Abstract
The purpose of this paper is to prove the following result : Let R be a 2-torsion free ring and T : RR an additive mapping such that 2T(x2) = T(x)(x) + (x)T(x) holds for all x  R. . In this case T is left and right -centralizer , if one of the following statements hold (i) R semiprime ring has a commutator which is not a zero divisor . (ii) R is a non commutative prime ring . (iii) R is a commutative semiprime ring , where  be surjective endomorphism of
Keywords
prime ring; semiprime ring; derivation; Jordan derivation; left; centralizer; Jordan centralizer; Jordan
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