Bootstrapping the bounded nilradical

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• 作者：Pace P. Nielsen ^{pace@math.byu.edu}
• 关键词：Primary ; 16N40 ; Secondary ; 16N60 ; 16R99 ; 16S36 ; 16U99
• 刊名：Journal of Pure and Applied Algebra
• 出版年：2013
• 出版时间：September, 2013
• 年：2013
• 卷：217
• 期：9
• 页码：1711-1715
• 全文大小：368 K

文摘

We give a new characterization of the bounded nilradical. Using the interplay between this and previous characterizations, we prove that the bounded nilradical is a graded ideal if the ring is graded. This allows us to completely determine the bounded nilradical of skew polynomial and skew Laurent polynomial rings in terms of information in the coefficient ring.