کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4583884 1630460 2016 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On pure derived categories
ترجمه فارسی عنوان
در دسته های مشتق شده خالص
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی

We investigate the properties of pure derived categories of module categories, and show that pure derived categories share many nice properties of classical derived categories. In particular, we show that bounded pure derived categories can be realized as certain homotopy categories. We introduce the pure projective (resp. injective) dimension of complexes in pure derived categories, and give some criteria for computing these dimensions in terms of the properties of pure projective (resp. injective) resolutions and pure derived functors. As a consequence, we get some equivalent characterizations for the finiteness of the pure global dimension of rings. Finally, pure projective (resp. injective) resolutions of unbounded complexes are considered.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 454, 15 May 2016, Pages 252–272
نویسندگان
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