| 左n-角范畴的稳定化及Grothendieck群 |
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| 引用本文： | 王敏雄,郑燕. 左n-角范畴的稳定化及Grothendieck群[J]. 数学进展, 2020, 0(1): 39-48 |
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| 作者姓名： | 王敏雄 郑燕 |
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| 作者单位： | 华侨大学数学科学学院 |
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| 基金项目： | 国家自然科学基金(No.11871014);福建省教育厅高校青年重点项目(No.JZ160405)。 |
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| 摘 要： | 本文证明了左n-角范畴的稳定化范畴具有n-角结构,并证明了当n为奇数时,左n-角范畴的Grothendieck群与其稳定化范畴的Grothendieck群同构.
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| 关 键 词： | 左n-角范畴 稳定化 GROTHENDIECK群 |
Stabilization of a Left n-angulated Category and Its Grothendieck Group |
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| WANG Minxiong,ZHENG Yan. Stabilization of a Left n-angulated Category and Its Grothendieck Group[J]. Advances in Mathematics(China), 2020, 0(1): 39-48 |
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| Authors: | WANG Minxiong ZHENG Yan |
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| Affiliation: | (School of Mathematical Sciences,Huaqiao University,Quanzhou,Fujian,362021,P.R.China) |
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| Abstract: | In this paper,it is proved that the stabilization of a left n-angulated category has an n-angulated structure.When n is odd,it is proved that the Grothendieck group of a left n-angulated category is isomorphic to the Grothendieck group of its stabilization. |
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| Keywords: | left n-angulated category stabilization Grothendieck group |
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