کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8896019 | 1630408 | 2018 | 23 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Triangulated equivalence between a homotopy category and a triangulated quotient category
ترجمه فارسی عنوان
همبستگی سه گانه بین یک دسته هومیوپاتی و یک رده تقریبا
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
چکیده انگلیسی
Given two complete hereditary cotorsion pairs (Q,R) and (Qâ²,Râ²) in a bicomplete abelian category G such that Qâ²âQ and Qâ©R=Qâ²â©Râ², Becker showed that there exists a hereditary abelian model structure M=(Q,W,Râ²) on G, where W is a thick subcategory of G. We prove that the homotopy category Ho(M) of M is triangulated equivalent to the triangulated quotient category Db(G)[Q,Râ²]Ë/Kb(Qâ²â©Râ²), where Db(G)[Q,Râ²]Ë is the subcategory of Db(G) consisting of all homology bounded complexes with both finite Q dimension and Râ² dimension and Kb(Qâ²â©Râ²) is the bounded homotopy category of Qâ²â©Râ² (core) objects. Applications are given in the category of modules. It is shown that the homotopy category of the Gorenstein flat (resp., Ding projective and Gorenstein AC-projective) model structure on the category of modules established by Gillespie and his coauthors can be realized as a certain triangulated quotient category.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 506, 15 July 2018, Pages 297-321
Journal: Journal of Algebra - Volume 506, 15 July 2018, Pages 297-321
نویسندگان
Zhenxing Di, Zhongkui Liu, Xiaoyan Yang, Xiaoxiang Zhang,