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| Paper IPM / M / 15576 |
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ABSTRACT
For a (right and left) coherent ring A, we show that there exists a duality between homotopy categories �??b(mod-Aop) and �??b(mod-A). If A = �? is an artin algebra of finite global dimension, this duality induces a duality between their subcategories of acyclic complexes, �??acb(mod-�?op) and �??acb(mod-�?). As a result, it will be shown that, in this case, �??acb(mod-�?) admits a Serre functor and hence has Auslander�??Reiten triangles.
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