| 模的根和底座 |
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| 引用本文： | 李海军,薛新民. 模的根和底座[J]. 数学研究及应用, 1983, 3(4): 11-15 |
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| 作者姓名： | 李海军 薛新民 |
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| 作者单位： | 北京工业大学二分校;国家经委能源研究所 |
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| 摘 要： | 在§1中我们将讨论模的根(定义1.1)以得到某些模类的分解性质,并由此推出Szsz关于半本原的MHL-环(即主左理想满足降链条件的环,见[7])的结构定理(命题1.8)。这样的环介乎半本原Artin环类和半本原环类之间,因而Szsz定理自然地给出了一个介乎古典的Wedderburn-Artin定理和Jacobson定理([2],p.14)之间的环结构定
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| 收稿时间： | 1982-08-04 |
Radicals and Socles of Modules |
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| Lie Haiqung and Xue Xengming. Radicals and Socles of Modules[J]. Journal of Mathematical Research with Applications, 1983, 3(4): 11-15 |
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| Authors: | Lie Haiqung and Xue Xengming |
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| Affiliation: | Beijing University of Technology |
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| Abstract: | In §1, we discuss me properties or radicais of modures (derntion 1.1)to botain some decomposition properties of certain classes of modules. Szasz's theorem on semi-primitive MHL-rings (rings with DCC on principal left ideals. [7]) will then be deduced. The class of such rings lies between that of the semiprimitive Artinian rings and that of the semiprimitive rings; so Szasz's structure theorem presents a desirable intermediate to the classical Wedderburn-Artin theorem and the Jacobson the- orem([2], p. 14). |
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