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Radicals in skew polynomial and skew Laurent polynomial rings.
- Source :
-
Journal of Pure & Applied Algebra . Oct2014, Vol. 218 Issue 10, p1916-1931. 16p. - Publication Year :
- 2014
-
Abstract
- 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. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00224049
- Volume :
- 218
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Journal of Pure & Applied Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 95716998
- Full Text :
- https://doi.org/10.1016/j.jpaa.2014.02.014