| 一类广义遗传环 |
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| 引用本文： | 朱占敏. 一类广义遗传环[J]. 纯粹数学与应用数学, 2003, 19(1): 68-71 |
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| 作者姓名： | 朱占敏 |
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| 作者单位： | 湖北民族学院数学系,恩施,445000 |
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| 基金项目： | 湖北省教育厅重点科研项目 (99A0 1 9) |
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| 摘 要： | 称环R为左亚遗传环，如果内射左R－模的商模是FG－内射的，给出了左亚遗传环的一些刻划，给出了左亚遗传环的半单环的条件，并研究了左亚遗传环的一些性质。
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| 关 键 词： | 亚遗传环 内射模 FG－内射模 |
| 文章编号： | 1008-5513(2003)01-0068-04 |
| 修稿时间： | 2002-03-05 |
A class of generalized hereditary rings |
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| ZHU Zhan-min. A class of generalized hereditary rings[J]. Pure and Applied Mathematics, 2003, 19(1): 68-71 |
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| Authors: | ZHU Zhan-min |
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| Abstract: | A ring R is said to be left subhereditary, if factor modules of injective left R-modules are FG-injective. some characterizations of left subhereditary rings are given, and conditions under which left subhereditary rings are semisimple rings are given too. Moreover, some properties of left subhereditary rings are investigated. |
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| Keywords: | subhereditary rings injective modules FG-injective modules |
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