Jacobson radical on skew polynomial ring
碩士 === 大同大學 === 應用數學學系(所) === 93 === 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 ze...
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2005
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| Online Access: | http://ndltd.ncl.edu.tw/handle/83792000159355687941 |
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ndltd-TW-093TTU055070012015-10-13T10:42:07Z http://ndltd.ncl.edu.tw/handle/83792000159355687941 Jacobson radical on skew polynomial ring 在斜多項式環上的Jacobson根式 Tsu-yang Wu 吳祖揚 碩士 大同大學 應用數學學系(所) 93 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 �x R = 0, then the Jacobson radical of R[x; d] is also zero. Yuan-tsung Tsai 蔡援宗 2005 學位論文 ; thesis 30 en_US |
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NDLTD |
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en_US |
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Others
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碩士 === 大同大學 === 應用數學學系(所) === 93 === 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 �x R = 0, then the Jacobson radical of
R[x; d] is also zero.
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| author2 |
Yuan-tsung Tsai |
| author_facet |
Yuan-tsung Tsai Tsu-yang Wu 吳祖揚 |
| author |
Tsu-yang Wu 吳祖揚 |
| spellingShingle |
Tsu-yang Wu 吳祖揚 Jacobson radical on skew polynomial ring |
| author_sort |
Tsu-yang Wu |
| title |
Jacobson radical on skew polynomial ring |
| title_short |
Jacobson radical on skew polynomial ring |
| title_full |
Jacobson radical on skew polynomial ring |
| title_fullStr |
Jacobson radical on skew polynomial ring |
| title_full_unstemmed |
Jacobson radical on skew polynomial ring |
| title_sort |
jacobson radical on skew polynomial ring |
| publishDate |
2005 |
| url |
http://ndltd.ncl.edu.tw/handle/83792000159355687941 |
| work_keys_str_mv |
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| _version_ |
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