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An Identity on -Centralizers of Lie Ideals in Prime Rings | ||
| Al-Mustansiriyah Journal of Science | ||
| Article 1, Volume 21, Issue 5, 2010, Pages 462-469 | ||
| Author | ||
| Abdulrahman H. Majeed | ||
| Abstract | ||
| ABSTRACT The main result: Let R be a 2-tortion free prime ring, U a square closed Lie ideal of R, and let T,: RR are additive mappings. Suppose that T(xyx) = q)x)T(y)q)x) holds for all pairs x,y U. In this case T(xy) = T(x)q)y) = q)x)T(y) for all x,y U, where is a surjective endomorphism of U, and T(u) U, for all uU . | ||
| Keywords | ||
| ABSTRACT The main result; tortion free prime ring; U a square closed Lie ideal of R; and let T; R are additive mappings; Suppose that T; In this case T; where; and T; for all u | ||
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