Equivalences induced by infinitely generated tilting modules

Details Equivalences induced by infinitely generated tilting modules Equivalences induced by infinitely generated tilting modules

2009-06-24

arxiv.org/abs/0906.4445v1

Mathematics

Rings and Algebras

Scientific paper

We generalize Brenner and Butler's Theorem as well as Happel's Theorem on the
equivalences induced by a finitely generated tilting module over artin
algebras, to the case of an infinitely generated tilting module over an
arbitrary associative ring establishing the equivalences induced between
subcategories of module categories and also at the level of derived categories.

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