The Auslander-Reiten formula for complexes of modules |
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| Authors: | Henning Krause Jue Le |
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| Institution: | a Institut für Mathematik, Universität Paderborn, 33095 Paderborn, Germany
b Department of Mathematics, Beijing Normal University, 100875 Beijing, PR China |
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| Abstract: | An Auslander-Reiten formula for complexes of modules is presented. This formula contains as a special case the classical Auslander-Reiten formula. The Auslander-Reiten translate of a complex is described explicitly, and various applications are discussed. |
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| Keywords: | Auslander-Reiten formula Auslander-Reiten triangle Serre duality Complexes of modules Derived category |
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