| ON ALMOST PRECOVERS AND ALMOST PREENVELOPES |
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| 作者姓名： | 毛立新 丁南庆 佟文廷 |
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| 作者单位： | Department of Basic Courses Nanjing Institute of Technology Nanjing 211167，China，Department of Mathematics Nanjing University，Nanjing 210093，China，Department of Mathematics Nanjing University，Nanjing 210093，China |
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| 基金项目： | This research was partially supported by the Specialized Research Fund for the Doctoral Program of Higher ducation of China (20020284009, 20030284033)
NSF of China (10331030)
Jiangsu Planned Projects for Postdoctoral Research Funds (0203003403)
the Postdoctoral Research Funds of China (2006037713)
and the Nanjing Institute of Technology of China. |
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| 摘 要： | Let C be a class of R-modules closed under isomorphisms and finite direct sums. It is first shown that the finite direct sum of almost C-precovers is an almost C-precover and the direct sum of an almost C-cover and a weak C-cover is a weak C-cover. Then the notion of almost C-preenvelopes is introduced and studied.
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| 关 键 词： | 几乎预覆盖 几乎预包络 R模块 类质同晶 |
| 收稿时间： | 2003-05-26 |
ON ALMOST PRECOVERS AND ALMOST PREENVELOPES |
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| Mao Lixin, Ding Nanqing.ON ALMOST PRECOVERS AND ALMOST PREENVELOPES[J].Acta Mathematica Scientia,2006,26(3):395-400. |
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| Authors: | Mao Lixin Ding Nanqing |
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| Abstract: | Let C be a class of R-modules closed under isomorphisms and finite direct sums. It is first shown that the finite direct sum of almost C-precovers is an almost C-precover and the direct sum of an almost C-cover and a weak C-cover is a weak C-cover. Then the notion of almost C-preenvelopes is introduced and studied. |
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| Keywords: | Almost precover almost preenvelope |
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