Modules of finite homological dimension with respect to a semidualizing module
Commutative Algebra
2009-04-25 v3
Abstract
We prove versions of results of Foxby and Holm about modules of finite (Gorenstein) injective dimension and finite (Gorenstein) projective dimension with respect to a semidualizing module. We also verify special cases of a question of Takahashi and White.
Cite
@article{arxiv.0807.4661,
title = {Modules of finite homological dimension with respect to a semidualizing module},
author = {Sean Sather-Wagstaff and Siamak Yassemi},
journal= {arXiv preprint arXiv:0807.4661},
year = {2009}
}
Comments
9 pages, uses xypic; v2 is mostly a minor revision, with the addition of Corollary 2.14, v.3 is final version, to appear in Archiv der Mathematik (Basel)