| 模丛之间的浸入关系 |
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| 引用本文： | 张飞军,张军亮.模丛之间的浸入关系[J].云南大学学报(自然科学版),2007,29(5):438-442,448. |
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| 作者姓名： | 张飞军 张军亮 |
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| 作者单位： | 陕西师范大学,数学与信息科学学院,陕西,西安,710062 |
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| 摘 要： | 利用张量和模代数知识,构造出了自由丛的浸入子丛和任一模丛的浸入子自由丛.得到一般模丛都能够成为一个自由丛的浸入子丛;同时任一模丛也能够有一自由丛(或投射丛)是它的浸入子丛;还给出了投射丛转化为自由丛的条件.
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| 关 键 词： | 纤维丛 模丛 浸入子丛 图表可换 |
| 文章编号： | 0258-7971（2007）05-0438-05 |
| 修稿时间： | 2006-11-12 |
The relation of immersion in module bundles |
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| ZHANG Fei-jun,ZHANG Jun-hang.The relation of immersion in module bundles[J].Journal of Yunnan University(Natural Sciences),2007,29(5):438-442,448. |
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| Authors: | ZHANG Fei-jun ZHANG Jun-hang |
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| Institution: | College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China |
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| Abstract: | The immersed subbundles of free bundles and the immersed free subbundles of any module bundles are constructed,by using theoretics of tensor and module algebra.It is indicated that any module bundles can becomes a immersed subbundles of free bundles,and that there is a free bundles(or projective bundles) is a immersed subbundles of any module bundles also.In particular,the condition which projective bundles change into free bundles is given. |
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| Keywords: | fibre bundles module bundles immersed subbundles commutative diagram |
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