Article ID Journal Published Year Pages File Type
4587023 Journal of Algebra 2010 17 Pages PDF
Abstract

Gorenstein derived categories are defined, and the relation with the usual derived categories is given. The bounded Gorenstein derived categories of Gorenstein rings and of finite-dimensional algebras are explicitly described via the homotopy categories of Gorenstein-projective modules, and some applications are obtained. Gorenstein derived equivalences between CM-finite Gorenstein algebras are discussed.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory