Abstract

REDONDO, María Julia  and  SOLOTAR, Andrea. Derived categories and their applications. Rev. Unión Mat. Argent. [online]. 2007, vol.48, n.3, pp.1-26. ISSN 0041-6932.

In this notes we start with the basic definitions of derived categories, derived functors, tilting complexes and stable equivalences of Morita type. Our aim is to show via several examples that this is the best framework to do homological algebra, We also exhibit their usefulness for getting new proofs of well known results. Finally we consider the Morita invariance of Hochschild cohomology and other derived functors.

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