Radicals in skew polynomial and skew Laurent polynomial rings

Autor:	Pace P. Nielsen, Chan Yong Hong, Nam Kyun Kim
Rok vydání:	2014
Předmět:	Combinatorics Ring (mathematics) Polynomial Algebra and Number Theory Mathematics::Commutative Algebra Alternating polynomial Laurent polynomial Mathematics::Rings and Algebras Skew Monic polynomial Square-free polynomial Mathematics Matrix polynomial
Zdroj:	Journal of Pure and Applied Algebra. 218:1916-1931
ISSN:	0022-4049
DOI:	10.1016/j.jpaa.2014.02.014
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e734afb15d5fede69bd528755cd44bc7 https://doi.org/10.1016/j.jpaa.2014.02.014 Zobrazit plný text záznamu Full Text from ScienceDirect