| 分次Γ－环的J－根、底座和链条件 |
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| 引用本文： | 陈清华.分次Γ－环的J－根、底座和链条件[J].福建师范大学学报(自然科学版),1996(2). |
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| 作者姓名： | 陈清华 |
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| 摘 要： | 证明了Ｚ－型分次Γ－环的Ｊａｃｏｂｓｏｎ根和底座是分次理想，得到一系列有关分次Γ－环的分次Ｊ－根（分次底座）与Ｊ－根（底座）之间的关系式，并给出Γ－环的链条件的一些基本结果．
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| 关 键 词： | Jacobson－根，底座，分次本质理想，分次本质子ΓA－模，NoetherΓ－环，ArtinΓ－环 |
Jacobson Radicals, Socles and Chain Conditions of Gamma Rings |
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| Chen Qinghua.Jacobson Radicals, Socles and Chain Conditions of Gamma Rings[J].Journal of Fujian Teachers University(Natural Science),1996(2). |
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| Authors: | Chen Qinghua |
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| Institution: | Department of Mathematics |
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| Abstract: | This paper shows that the Jacobson radical and socle of a graded gamma ring of type Z are graded ideals, obtains some relations between the graded Jacobson radical(graded socle) and the Jacobson radical (socle) of a graded gamma ring, and gives some basic results of chain conditions of a gamma ring. |
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