Duality and Serre functor in homotopy categories
Duality and Serre functor in homotopy categories
For a (right and left) coherent ring A, we show that there exists a duality between homotopy categories 𝕂b(mod-Aop) and 𝕂b(mod-A). If A = Λ is an artin algebra of finite global dimension, this duality induces a duality between their subcategories of acyclic complexes, 𝕂acb(mod-Λop) and 𝕂acb(mod-Λ). As a result, …