关于单位半素环上的导数的一个结果

Pub Date : 2021-06-24 DOI:10.3336/gm.56.1.07

I. Kosi-Ulbl, Nejc Širovnik, J. Vukman, Global Gaming Solutions Partner WinSystems

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引用次数: 1

摘要

本文的目的是证明以下结果。设n≥3为固定整数，R为a (n+1)!2n-2-无扭半素一元环。假设存在一个加性映射D: R→R满足对所有x∈R的关系，此时D是一个导数。这个结果的历史可以追溯到赫斯坦的一个经典结果，该结果表明，在2-无扭转素数环上的任何Jordan导数都是一个导数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A result related to derivations on unital semiprime rings

The purpose of this paper is to prove the following result. Let n≥3 be some fixed integer and let R be a (n+1)!2n-2-torsion free semiprime unital ring. Suppose there exists an additive mapping D: R→ R satisfying the relation for all x ∈ R. In this case D is a derivation. The history of this result goes back to a classical result of Herstein, which states that any Jordan derivation on a 2-torsion free prime ring is a derivation.

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