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Commuting maps on lie ideals

 

作者: Matej Brešar,   C. Robert Miers,  

 

期刊: Communications in Algebra  （Taylor Available online 1995）
卷期: Volume 23, issue 14  

页码: 5539-5553

 

ISSN:0092-7872

 

年代: 1995

 

DOI:10.1080/00927879508825551

 

出版商: Marcel Dekker, Inc.

 

数据来源: Taylor

 

摘要:

Let R be a ring and let A be a subset of R. A map f : A→ R is commuting on A if [f(x),x]= 0 for all xεA where [x,y] = xy — yx. Suppose that R is a prime ring of characteristic ≠2 with extended centroid C. If L is a noncommutative Lie ideal of R and f:L→R an additive commuting map, then there is λε C and an additive map ∈: L→ C such that f(v) = λ(v)=λv+∈((v) for all vεL.

 

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