کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4585015 1630521 2013 28 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Proper resolutions and Gorenstein categories
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Proper resolutions and Gorenstein categories
چکیده انگلیسی

Let AA be an abelian category and CC an additive full subcategory of AA. We provide a method to construct a proper CC-resolution (resp. coproper CC-coresolution) of one term in a short exact sequence in AA from that of the other two terms. By using these constructions, we answer affirmatively an open question on the stability of the Gorenstein category G(C)G(C) posed by Sather-Wagstaff, Sharif and White; and also prove that G(C)G(C) is closed under direct summands. In addition, we obtain some criteria for computing the CC-dimension and the G(C)G(C)-dimension of an object in AA.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 393, 1 November 2013, Pages 142–169
نویسندگان
,