| 诱导丛的局部平凡性条件 |
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| 引用本文： | 张飞军,李开泰.诱导丛的局部平凡性条件[J].陕西师范大学学报,2006,34(3):23-26. |
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| 作者姓名： | 张飞军 李开泰 |
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| 作者单位： | 西安交通大学理学院，西安交通大学理学院 陕西西安710049，陕西师范大学数学与信息科学学院，陕西西安710062，陕西西安710049 |
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| 摘 要： | 把由向量丛态射诱导出的三个特殊丛推广到模丛态射中,得到了相应的三个模丛:ker丛、im丛和coker丛;证明了如果两Z-模丛的纤维是可除的,则态射f诱导出的模丛imf和cokerf是局部平凡的;如果两模丛的纤维都是半单纯模,则三个诱导丛都是局部平凡的.最后,利用正合式将这些诱导丛联系起来.
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| 关 键 词： | 纤维丛 模丛 ker丛 im丛 coker丛 |
| 文章编号： | 1672-4291（2006）03-0023-04 |
| 收稿时间： | 2006-03-03 |
| 修稿时间： | 2006年3月3日 |
The conditions for the induced bundle to be locally trivial |
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| ZHANG Fei-jun,LI Kai-tai.The conditions for the induced bundle to be locally trivial[J].Journal of Shaanxi Normal University: Nat Sci Ed,2006,34(3):23-26. |
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| Authors: | ZHANG Fei-jun LI Kai-tai |
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| Abstract: | Expand three especial induced vector bundles induced by a morphism of vector bundles to those induced by a morphism of module bundles so that three module bundles,ker bundles,im bundles and coker bundles are obtained.It is proved that if fibre of two Z-module bundles is divisible,then the module bundles imf and cokerf induced by a morphism f are locally trivial.When the fibres of two module bundle are semi-simplicial module,it is shown that three induced bundles,kerf,imf and cokerf are locally trivial.Lastly,by using exact sequences,some relations between kerf,imf and cokerf are given. |
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| Keywords: | fiber bundle module bundle ker bundle im bundle coker bundle |
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