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| 摘要: |
| 本文研究广义Comma 范畴上Recollement 问题. 利用Abel 范畴上Recollement 及其伴随函子, 诱导出广义Comma 范畴, 并利用比较函子构造出广义Comma 范畴上的Recollement. 这些结果推广了一般Abel 范畴上的Recollement, 丰富了Comma 范畴研究. |
| 关键词: 广义Comma范畴 Abel范畴 伴随函子 Recollement |
| DOI： |
| 分类号:O154 |
| 基金项目:国家自然科学基金资助(11071040);福建省自然科学基金资助(2011J01004). |
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| RECOLLEMENTS OF GENERALIZED COMMA CATEGORIES |
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XIN Lin,ZHENG Lin
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| Abstract: |
| In this paper, we study the recollement problem for generalized comma category. Using recollement of abelian categories and its adjoint functor, we induce generalized comma categories. Using the comparison functors, we construct the recollement of generalized comma categories. These results generalize the recollement of general abelian categories and enrich a research for comma category. |
| Key words: generalized comma category abelian category adjoint functor recollement |
