Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4588918 | Journal of Algebra | 2007 | 8 Pages |
Abstract
Rickard proved in his paper [J. Rickard, Equivalences of derived categories for symmetric algebras, J. Algebra 257 (2002) 460–481] that if Λ is a finite-dimensional symmetric k-algebra and if there is a set of objects in D(mod(Λ)) satisfying some conditions, then there is a derived equivalence taking these objects to the simple modules of another algebra Γ. In this paper we generalize Rickard's results to finite-dimensional selfinjective k-algebras by adding an extra condition. We use the techniques of Rickard's paper in this paper.
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