Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4596295 | Journal of Pure and Applied Algebra | 2014 | 16 Pages |
Abstract
We provide a general procedure for characterizing radical-like functions of skew polynomial and skew Laurent polynomial rings under grading hypotheses. In particular, we are able to completely characterize the Wedderburn and Levitzki radicals of skew polynomial and skew Laurent polynomial rings in terms of ideals in the coefficient ring. We also introduce the T-nilpotent radideals, and perform similar characterizations.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Chan Yong Hong, Nam Kyun Kim, Pace P. Nielsen,