Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9493372 | Journal of Algebra | 2005 | 12 Pages |
Abstract
We study a natural generalization of *n-modules (and hence also of *-modules) by introducing the notion of *â-modules. The most important results about *n-modules (and also *-modules) are extended to *â-modules (for example, Theorem 2.7, etc.). An interesting subclass of the class of *â-modules, namely the class of â-tilting modules, may be viewed as a more natural generalization of tilting modules of finite projective dimension to infinite projective dimension. We show that the generalization of the Brenner-Butler theorem in the tilting theory holds for â-tilting modules (Theorem 3.9).
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Wei Jiaqun,