| 广义拉回与推出 |
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| 引用本文： | 唐丽丹,陈清华.广义拉回与推出[J].数学学报,2007,50(4):759-774. |
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| 作者姓名： | 唐丽丹 陈清华 |
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| 作者单位： | 福建师范大学数学与计算机科学学院 福州350007 |
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| 基金项目： | 国家自然科学基金(10371101)，福建省自然科学基金(Z0511022)，福建省教育厅基金(JA05206) |
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| 摘 要： | 利用逆向极限刻画集体拉回与I-拉回,探讨I-拉回与拉回间的关系;并把集体拉回和I-拉回统一起来,引入拉回的另一推广形式,即广义拉回,研究它在一般范畴及环、模范畴上的性质,应用到拉回环,得到拉回环上倾斜模间的关系及几类广义拉回环的同调维数的上界。
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| 关 键 词： | 集体拉回 I-拉回 广义拉回 |
| 文章编号： | 0583-1431（2007）04-0759-16 |
| 收稿时间： | 2005-11-1 |
| 修稿时间： | 2005-11-01 |
Generalized Pullbacks and Pushouts |
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| Li Dan TANG ,Qing Hua CHEN.Generalized Pullbacks and Pushouts[J].Acta Mathematica Sinica,2007,50(4):759-774. |
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| Authors: | Li Dan TANG Qing Hua CHEN |
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| Institution: | School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, P. R. China |
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| Abstract: | This paper characterizes collective pullbacks and I-pullbacks by means of inverse limit and discusses the relationship between I-pullbacks and pullbacks.Finally, introduces generalized pullbacks which generalize pullbacks,collective pullbacks and I-pullbacks,investigates their properties both in general category and some concrete categories,discusses the relationship between tilting modules over pullback rings,ob- tains the upper bounds for the homological dimension of some generalized pullback rings. |
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| Keywords: | collective pullback I-pullback generalized pullback |
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