کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4665157 1633797 2016 53 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Gorenstein complexes and recollements from cotorsion pairs
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Gorenstein complexes and recollements from cotorsion pairs
چکیده انگلیسی

We describe a general correspondence between injective (resp. projective) recollements of triangulated categories and injective (resp. projective) cotorsion pairs. This provides a model category description of these recollement situations. Our applications focus on displaying several recollements that glue together various full subcategories of K(R)K(R), the homotopy category of chain complexes of modules over a general ring R. When R is (left) Noetherian, these recollements involve complexes built from the Gorenstein injective modules. When R is a (left) coherent ring for which all flat modules have finite projective dimension we obtain the duals. These results extend to a general ring R by replacing the Gorenstein modules with the Gorenstein AC-modules introduced in [9]. We also see that in any abelian category with enough injectives, the Gorenstein injective objects enjoy a maximality property in that they contain every other class making up the right half of an injective cotorsion pair.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 291, 19 March 2016, Pages 859–911
نویسندگان
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