| 郭宇.相对遗传环(英文)[J].数学研究及应用,1992,12(1):95~100 |
| 相对遗传环(英文) |
| Relative Hereditary Rings |
| 投稿时间：1990-05-04 |
| DOI：10.3770/j.issn:1000-341X.1992.01.016 |
| 中文关键词: |
| 英文关键词: |
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| 摘要点击次数: 1963 |
| 全文下载次数: 1385 |
| 中文摘要: |
| 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. |
| 英文摘要: |
| 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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