Gorenstein derived equivalences and their invariants

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• 作者：Javad Asadollahi ; Rasool Hafezi ; Razieh Vahed
• 关键词：18E30 ; 18G20 ; 16E65 ; 16P10 ; 16G10
• 刊名：Journal of Pure and Applied Algebra
• 出版年：May, 2014
• 年：2014
• 卷：218
• 期：5
• 页码：888-903
• 全文大小：353 K

文摘

The main objective of this paper is to study the relative derived categories from various points of view. Let be an abelian category and be a contravariantly finite subcategory of . One can define -relative derived category of , denoted by . The interesting case for us is when has enough projective objects and is the class of Gorenstein projective objects, where is known as the Gorenstein derived category of . We explicitly study the relative derived categories, specially over artin algebras, present a relative version of Rickard始s theorem, specially for Gorenstein derived categories, provide some invariants under Gorenstein derived equivalences and finally study the relationships between relative and (absolute) derived categories.