| Hopf余模代数Smash积的理想 |
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| 引用本文： | 陈惠香. Hopf余模代数Smash积的理想[J]. 数学杂志, 1996, 16(1): 55-59 |
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| 作者姓名： | 陈惠香 |
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| 作者单位： | 扬州大学师范学院 |
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| 摘 要： | Ｈｏｐｆ余模代数Ｓｍａｓｈ积的理想陈惠香（扬州大学师范学院，扬州２２５００２）本文恒设Ｈ是域ｋ上Ｈｏｐｆ代数，Ｓ为Ｈ的ａｎｔｉｐｏｄｅ，Ｈ“为Ｈ的对偶代数。如果Ｓ是双射，则用工表示Ｓ的逆映射．有关记号参阅文ｏｆ］．设Ａ是右Ｈ一余模代数．则自然嵌人Ａ①...
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| 关 键 词： | Hopf余模代数 Smash积 理想 Hopf代数 |
PRIME IDEALS OF SMASH PRODUCTS OF HOPF COMODULE ALGEBRAS |
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| Chen Huixiang. PRIME IDEALS OF SMASH PRODUCTS OF HOPF COMODULE ALGEBRAS[J]. Journal of Mathematics, 1996, 16(1): 55-59 |
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| Authors: | Chen Huixiang |
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| Abstract: | Let H be a Hopf algebra,A a right H-comodule algebra.First of all,we give a bijhective correspondence between ideals of A#H*rat and AcoH,preserving containments and products.Then we prove that there exists a bijective correspondence between H-stable ideals of A#H*rat and H*-stable ideals of A. Finally we discuse relative properties of AcoH,A and A # H*rat. |
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| Keywords: | Comodule algebra Smash product Stable ideal |
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