Syzygy modules with semidualizing or G-projective summands
Commutative Algebra
2007-05-23 v1
Abstract
Let R be a commutative Noetherian local ring with residue class field k. In this paper, we mainly investigate direct summands of the syzygy modules of k. We prove that R is regular if and only if some syzygy module of k has a semidualizing summand. After that, we consider whether R is Gorenstein if and only if some syzygy module of k has a G-projective summand.
Cite
@article{arxiv.math/0501342,
title = {Syzygy modules with semidualizing or G-projective summands},
author = {Ryo Takahashi},
journal= {arXiv preprint arXiv:math/0501342},
year = {2007}
}
Comments
13 pages, to appear in Journal of Algebra