| 构造三角模型结构的新方法 |
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| 引用本文： | 张平儿,杨晓燕.构造三角模型结构的新方法[J].山东大学学报(理学版),2020,55(12):97-102. |
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| 作者姓名： | 张平儿 杨晓燕 |
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| 作者单位： | 西北师范大学数学与统计学院,甘肃 兰州730070;西北师范大学数学与统计学院,甘肃 兰州730070 |
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| 基金项目： | 国家自然科学基金资助项目(11761060) |
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| 摘 要： | 设T 是三角范畴,ξ表示某个三角真类。假设(Q,R)和(Q,R)是两个相对于ξ的完备遗传余挠对,其中R?R且Q ∩R=Q∩R。在T 中构造了一个相对于ξ的唯一三角模型结构,Q(Q)作为余纤维(平凡的余纤维)对象的类,R(R)作为纤维(平凡的纤维)对象的类。
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| 关 键 词： | 三角范畴 完备遗传余挠对 thick类 Hovey三元组 |
A new construction method of triangulated model structures |
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| ZHANG Ping-er,YANG Xiao-yan.A new construction method of triangulated model structures[J].Journal of Shandong University,2020,55(12):97-102. |
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| Authors: | ZHANG Ping-er YANG Xiao-yan |
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| Institution: | College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China |
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| Abstract: | Let T be a triangulated category and ξ denote some proper class of triangles, and suppose that we have two complete hereditary cotorsion pairs(Q,R)and(Q,R)with respect to ξ in T satisfying R?R and Q ∩R=Q∩R. We show how to construct an unique triangulated model structures with respect to ξ on T with Q(resp.Q)as the class of cofibrant(resp. trivially cofibrant)objects and R(resp. R)as the class of fibrant(resp. trivially fibrant)objects. |
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| Keywords: | triangulated category complete hereditary cotorsion pair thick class Hovey triple |
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