Article ID Journal Published Year Pages File Type
4587859 Journal of Algebra 2008 25 Pages PDF
Abstract

By a theorem due to the first author, the bounded derived category of a finite dimensional algebra over a field embeds fully faithfully into the stable category over its repetitive algebra. This embedding is an equivalence if the algebra is of finite global dimension. The purpose of this paper is to investigate the relationship between the derived category and the stable category over the repetitive algebra from various points of view for algebras of infinite global dimension. The most satisfactory results are obtained for Gorenstein algebras, especially for selfinjective algebras.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory