| 分次反单本原根 |
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| 引用本文： | 魏俊潮,李立斌.分次反单本原根[J].数学学报,2005,48(3):585-588. |
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| 作者姓名： | 魏俊潮 李立斌 |
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| 作者单位： | 扬州大学数学科学学院 扬州225002
(魏俊潮)，扬州大学数学科学学院 扬州225002(李立斌) |
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| 基金项目： | 国家自然科学基金资助项目(19971073) |
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| 摘 要： | 本文给出分次情形的反单本原根SJGG,当群G满足|G|<∞,证明了SJG=SJref=SJG,其中SJref和SJG分别表示反射反单本原根和限制反单本原根.而且讨论了SJG的分次补根.
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| 关 键 词： | 分次反单本原根 分次亚直既约的分次本原环 分次补根 |
Graded Antisimple Primitive Radical |
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| Jun Chao WEI Li Bin LI School of Mathematics Science,College of Science,Yangzhou University,Yangzhou ,P. R. China.Graded Antisimple Primitive Radical[J].Acta Mathematica Sinica,2005,48(3):585-588. |
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| Authors: | Jun Chao WEI Li Bin LI School of Mathematics Science College of Science Yangzhou University Yangzhou P R China |
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| Institution: | Jun Chao WEI Li Bin LI School of Mathematics Science, College of Science, Yangzhou University, Yangzhou 225002, P. R. China |
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| Abstract: | We introduce the graded version of the antisimple primitive radical SJ, the graded antisimple primitive radical SJG We show that SJG = SJref = SJG when |G| < ∞, where SJref denotes the reflected antisimple primitive radical and SJG denotes the restricted antisimple primitive radical. Furthermore, ,we discuss the graded supplementing radical of SJG. |
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| Keywords: | Graded antisimple primitive radical Graded subdirectly irreducible graded primitive ring Graded supplementing radical |
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