,On a Class of Infinite Rings

来源 :代数集刊（英文版） | 被引量 : 0次 | 上传用户：wst6681

【摘要】

：

Let α1,..., αn ∈ N. We prove that, in every infinite ring R, xα11 ... Xαnn= 0 for all x1,...,xn ∈ R ifand only if, for any n infinite subsets X1,...,Xn of

【作者】

：

Alireza Abdollahi Bijan Taeri

【机构】

：

Department of Mathematics, University of Isfahan Isfahan 81744, Iran“,”Department of Mathematics Uni

【出处】

：

代数集刊（英文版）

【发表日期】

：

2001年2期

【关键词】

：

polynomial rings infinite subsets

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Let α1,..., αn ∈ N. We prove that, in every infinite ring R, xα11 ... Xαnn= 0 for all x1,...,xn ∈ R ifand only if, for any n infinite subsets X1,...,Xn of R,there exist x1 X1…,xn Xn such that x1a1…xnan=0.

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,On a Class of Infinite Rings

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