Article ID Journal Published Year Pages File Type
4596746 Journal of Pure and Applied Algebra 2013 5 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory