Deriving Dg Categories
نویسنده
چکیده
We investigate the (unbounded) derived category of a diierential Z-graded category (=DG category). As a rst application, we deduce a 'triangulatedanaloguè (4.3) of a theorem of Freyd's 5, Ex. 5.3 H] and Gabriel's 6, Ch. V] characterizing module categories among abelian categories. After adapting some homological algebra we go on to prove a 'Morita theorem`(8.2) generalizing results of 19] and 20]. Finally, we develop a formalism for Koszul duality 1] in the context of DG augmented categories. Summary We give an account of the contents of this paper for the special case of DG algebras. Let k be
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