Certain Additive Maps on (m + n + <em>1</em>)-Power Closed Lie Ideals

• 作者: Kun-Shan Liu
• 来源期刊: 代数集刊:英文版
• 学科: 数学
• 关键词: LIE理想 添加剂 Mn 地图 关闭 电源 非负整数 功率封闭
• 年，卷（期）: 2014,（1）
• 页码范围: 81-94
• 页数: 14页
• 分类号: O153.3
• 语种: 中文

摘要

Let R be a prime ring and m, n be fixed non-negative integers such that m+n ≠ 0. Suppose L is an (m+m+1)-power closed Lie ideal, and this means ure+n+1 ∈ L for all u ∈ L. If charR = 0 or a prime p 〉 2(m + n), we characterize the additive maps d: L → R satisfying d(um+n+1) = (m -+n + 1)umd(u)un (resp., d(um+n+l) = umd(u)un) for all u ∈ L.