| 相对遗传环 |
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| 引用本文： | 郭宇.相对遗传环[J].数学研究及应用,1992,12(1):95-100. |
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| 作者姓名： | 郭宇 |
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| 作者单位： | 长春师范学院数学系 |
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| 摘 要： | 本文给出了左相对遗传环的概念及刻划.讨论了左相对遗传环与左遗传环,左半遗传环的关系,并给出了左遗传环的几个新的刻划.最后,证明了左相对遗传环(相对于左模范畴的生成元)的左理想的自同态环是左半遗传的;左相对遗传环(相对于左模范畴的内射生成元)上的有限生成相对投射模的自同态环是左半遗传的等结果.
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| 关 键 词： | 左相对遗传环 左遗传环 左半遗传环 |
| 收稿时间： | 5/4/1990 12:00:00 AM |
Relative Hereditary Rings |
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| Guo Yu.Relative Hereditary Rings[J].Journal of Mathematical Research with Applications,1992,12(1):95-100. |
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| Authors: | Guo Yu |
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| Institution: | Dept. of Math.; Changcun Teachers' College; China |
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| Abstract: | In this paper, we give the concept of relative hereditary ring and charac-terizatin of relative hereditary ring. The relations between relative hereditary rings, semi-hereditary rings and hereditary rings are studied. Finally, we prove that end-morphism rings of left ideal of some relative hereditary rings and endmorphism rings of finitely generated relative projective modules over some relative hereditary rings are semi-hereditary rings. |
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