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ABSTRACT
For a (right and left) coherent ring A, we show that there exists a duality between homotopy categories ï¿½??b(mod-Aop) and ï¿½??b(mod-A). If A = ï¿½? is an artin algebra of finite global dimension, this duality induces a duality between their subcategories of acyclic complexes, ï¿½??acb(mod-ï¿½?op) and ï¿½??acb(mod-ï¿½?). As a result, it will be shown that, in this case, ï¿½??acb(mod-ï¿½?) admits a Serre functor and hence has Auslanderï¿½??Reiten triangles.
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