Radicals in skew polynomial and skew Laurent polynomial rings

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• 作者：Chan Yong Hong^a ; ^{hcy@khu.ac.kr" class="auth_mail} ; Nam Kyun Kim^b ; ^{nkkim@hanbat.ac.kr" class="auth_mail} ; Pace P. Nielsen^c ; ^{pace@math.byu.edu" class="auth_mail}
• 关键词：Primary ; 16N40 ; 16S36 ; secondary ; 16N60 ; 16N80
• 刊名：Journal of Pure and Applied Algebra
• 出版年：October 2014
• 年：2014
• 卷：218
• 期：10
• 页码：1916-1931
• 全文大小：341 K

文摘

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 m>Tm>-nilpotent radideals, and perform similar characterizations.