ON PRIME AND SEMIPRIME RINGS WITH SYMMETRIC n-DERIVATIONS

• 발행기관: 충청수학회
• 저자명: Kyoo Hong Park
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 22, No. 3, 451~458쪽, 전체 8쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2009.09.30

영문 초록

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.

목차

1. Introduction and preliminaries

2. Results

References