Infinitely generated tilting modules of finite projective dimension

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

• Book ID: 121251034
• 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

✦ Synopsis

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].