| 摘要: |
| 本文研究了n-角范畴的局部化理论.利用给定的n-角范畴K和K的一个相容乘法系S，通过局部化方法构造与原范畴对象相同的商范畴S-1 K，在新范畴中S的态射成为同构，并且该商范畴具有n-角结构且满足一定的泛性，推广了三角范畴的局部化理论. |
| 关键词: n-角范畴 商范畴 局部化 |
| DOI： |
| 分类号:O154.1;O154.2 |
| 基金项目:国家自然科学基金资助（11871014）；福建省教育厅高校青年重点项目资助（JZ160405）. |
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| LOCALIZATION OF N-ANGULATED CATEGORIES |
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WANG Min-xiong, ZHENG Yan
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School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
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| Abstract: |
| In this paper, we study localization theory of n-angulated categories. By using localization method, given an n-angulated category K and a compatible localizing class S of K, the quotient category S-1 K is constructed. In the new category, objects are the same as the original category and the elements of S become isomorphisms. Furthermore, the quotient category has an n-angulated structure and satisfies certain universal property, which generalize the corresponding results in triangulated categories. |
| Key words: n-angulated category quotient category localization |
