کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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4596663 | 1336177 | 2014 | 16 صفحه PDF | دانلود رایگان |
The main objective of this paper is to study the relative derived categories from various points of view. Let AA be an abelian category and CC be a contravariantly finite subcategory of AA. One can define CC-relative derived category of AA, denoted by DC⁎(A). The interesting case for us is when AA has enough projective objects and C=GP-AC=GP-A is the class of Gorenstein projective objects, where DC⁎(A) is known as the Gorenstein derived category of AA. We explicitly study the relative derived categories, specially over artin algebras, present a relative version of Rickardʼs theorem, specially for Gorenstein derived categories, provide some invariants under Gorenstein derived equivalences and finally study the relationships between relative and (absolute) derived categories.
Journal: Journal of Pure and Applied Algebra - Volume 218, Issue 5, May 2014, Pages 888–903