Derivations on Semiprime Rings and Banach Algebras, I

• 발행기관: 충청수학회
• 저자명: BYUNG DO KIM YANG HI LEE
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 7, No. 1, 165~182쪽, 전체 18쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 1994.06.30

영문 초록

The aim of this paper is to give the partial answer of Vukman’s conjecture [2]. From the partial answer we also generalize a classical result of Posner. We prove the following result: Let R be a prime ring with char(R)≠2, 3, and 5. Suppose there exists a nonzero derivation D : R → R such that the mapping x → [[[Dx, x], x], x] is centralizing on R. Then R is commutative. Using this result and some results of Sinclair and Johnson, we generalize Yood’s noncom-mutative extension of the Singer-Wermer theorem.

목차

ABSTRACT

1. Introduction

2. Main Results

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