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.
引用总数
20142015201620172018201920202021202220231352332131
学术搜索中的文章
J Asadollahi, R Hafezi, R Vahed - Journal of Pure and Applied Algebra, 2014