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Models for mock homotopy categories of projectives

Models for mock homotopy categories of projectives

Let R be a ring and Ch(R) the category of chain complexes of R-modules.We put an abelian model structure on Ch(R) whose homotopy category is equivalent to K(P roj), the homotopy category of all complexes of projectives.However, the cofibrant objects are not complexes of projectives, but rather all complexes of …