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Infinitely generated tilting modules of finite projective dimension

✍ Scribed by Hügel, L. Angeleri; Coelho, F. U.

Book ID: 121251033
Publisher: Walter de Gruyter GmbH & Co. KG
Year: 2001
Tongue: English
Weight: 128 KB
Volume: 13
Category: Article
ISSN: 0933-7741
DOI: 10.1515/form.2001.006

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We extend Miyashita's notion of a tilting module of ®nite projective dimension to in®nitely generated modules over an arbitrary ring R and characterize the classes X r Mod R induced by such tilting modules in terms of the existence of X-preenvelopes. This extends results in [3] and [1].

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