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URN etd-0622105-133703 Statistics This thesis had been viewed 2625 times. Download 1105 times. Author Tsu-yang Wu Author's Email Address email@example.com Department Math Year 2004 Semester 2 Degree Master Type of Document Master's Thesis Language English Page Count 30 Title Jacobson radical on skew polynomial ring Keyword skew polynomial ring prime ring jacobson radical jacobson radical prime ring skew polynomial ring Abstract Let R be a prime ring and R[x; d] be the skew polynomial ring over R with a derivation d. We prove two results in this thesis：
1. If R has no nonzero nil ideals and the center of R[x; d] has a
nonconstant polynomial, then the Jacobson radical of R[x; d] is zero.
2. If R has no nonzero nil ideals and there is a nonzero ideal
of R[x; d] such that ? R = 0, then the Jacobson radical of
R[x; d] is also zero.
Advisor Committee Yuan-tsung Tsai - advisor
Chen-lian Chuang - co-chair
Nam-po Chiang - co-chair
Files Date of Defense 2005-06-17 Date of Submission 2005-06-22