| 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 |
| 模的根和底座 |
| Radicals and Socles of Modules |
| 投稿时间：1982-08-04 |
| DOI：10.3770/j.issn:1000-341X.1983.04.003 |
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| 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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