We extend Miyashita's notion of a tilting module of finite projective dimension to infinitely generated modules over an arbitrary ring R and characterize the classes X subset of Mod R induced by such tilting modules in terms of the existence of X-preenvelopes. This extends results in [3] and [1].
Infinitely generated tilting modules of finite projective dimension
ANGELERI, LIDIA;
2001-01-01
Abstract
We extend Miyashita's notion of a tilting module of finite projective dimension to infinitely generated modules over an arbitrary ring R and characterize the classes X subset of 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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