کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4596203 1336155 2014 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Conjugate pairs of categories and Quillen equivalent stable model categories of functors
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Conjugate pairs of categories and Quillen equivalent stable model categories of functors
چکیده انگلیسی
We describe the notion of a conjugate pair (B,A) of small categories, wherein maps in B admit a factorization by maps in the subcategory A, much in the spirit of a “two-sided” calculus of fractions. When (B,A) is a conjugate pair, we prove that for any cofibrantly generated model category C there is an induced Quillen adjunction between the functor categories [Bop,C] and [Aop,C]. When C is a left proper stable model category, this adjunction is a Quillen equivalence. Finally, we demonstrate that minor modifications of our arguments give the analogous result when C is instead assumed to be an Ab-category.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 218, Issue 7, July 2014, Pages 1302-1323
نویسندگان
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