作者
Javad Asadollahi, Rasool Hafezi, Razieh Vahed
发表日期
2014/5/1
期刊
Journal of Pure and Applied Algebra
卷号
218
期号
5
页码范围
888-903
出版商
North-Holland
简介
The main objective of this paper is to study the relative derived categories from various points of view. Let A be an abelian category and C be a contravariantly finite subcategory of A. One can define C-relative derived category of A, denoted by D C⁎(A). The interesting case for us is when A has enough projective objects and C= GP-A is the class of Gorenstein projective objects, where D C⁎(A) is known as the Gorenstein derived category of A. 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.
学术搜索中的文章
J Asadollahi, R Hafezi, R Vahed - Journal of Pure and Applied Algebra, 2014