CHARACTERIZATIONS OF ELEMENTS IN PRIME RADICALS OF SKEW POLYNOMIAL RINGS AND SKEW LAURENT POLYNOMIAL RINGS

descriptionPublicationkeyboard_double_arrow_right Article 31 Mar 2011 English Publisher:The Korean Mathematical SocietyJournal:Bulletin of the Korean Mathematical Society, volume 48, pages 277-290 (issn: 1015-8634,

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Authors: Jeoung-Soo Cheon; Eun-Jeong Kim; Chang-Ik Lee; Yun-Ho Shin;

doi: 10.4134/bkms.2011.48.2.277

CHARACTERIZATIONS OF ELEMENTS IN PRIME RADICALS OF SKEW POLYNOMIAL RINGS AND SKEW LAURENT POLYNOMIAL RINGS

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Abstract

We show that the -prime radical of a ring R is the set of all strongly -nilpotent elements in R, where is an automorphism of R. We observe some conditions under which the -prime radical of R coincides with the prime radical of R. Moreover we characterize elements in prime radicals of skew Laurent polynomial rings, studying (; 1 )- (semi)primeness of ideals of R.

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Pusan National University
Korea (Republic of)

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