Recollements of Derived Categories from Two-Term Big Tilting Complexes
摘要
We introduce the notion of big tilting complexes over associative rings, which is a simultaneous generalization of good tilting modules and tilting complexes over rings. Given a two-term big tilting complex over an arbitrary associative ring, we show that the derived module category of its (derived) endomorphism ring is a recollement of the one of the given ring and the one of a universal localization of the endomorphism ring. This recollement generalizes the one established for a good tilting module of projective dimension at most one.