학술저널
ON PRIME AND SEMIPRIME RINGS WITH SYMMETRIC n-DERIVATIONS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 22, No. 3
-
2009.09451 - 458 (8 pages)
- 0
Let n ¸ 2 be a ¯xed positive integer and let R be a noncommutative n!-torsion free semiprime ring. Suppose that there exists a symmetric n-derivation ¢ : Rn ! R such that the trace of ¢ is centralizing on R. Then the trace is commuting on R. If R is a n!-torsion free prime ring and ¢ 6= 0 under the same condition. Then R is commutative.
1. Introduction and preliminaries
2. Results
References
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