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Identities with additive mappings in semiprime rings

Nadeem Ur Rehman|Ajda Fosner
대한수학회 (The Korean Mathematical Society)|2014.01|대한수학회보 (Bulletin of the KMS)|제51권 제1호|pp. 207-211

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참고문헌

키워드

prime ringsemiprime ringcommuting mappingcentralizing mappingadditive mapping
주제분류수학

초록

The aim of this paper is to prove the next result. Let n > 1 be an integer and let R be a n!-torsion free semiprime ring. Suppose that f : R → R is an additive mapping satisfying the relation [f(x), xn] = 0 for all x ∈ R. Then f is commuting on R.

Abstract

The aim of this paper is to prove the next result. Let n > 1 be an integer and let R be a n!-torsion free semiprime ring. Suppose that f : R → R is an additive mapping satisfying the relation [f(x), xn] = 0 for all x ∈ R. Then f is commuting on R.

참고문헌 (28)

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