Ding projective complexes with respect to a semidualizing module
Rings and Algebras
2016-10-31 v1
Abstract
Let R be a commutative ring and C a semidualizing R-module. In this article, we introduce and investigate the notion of DC-projective complexes. We first prove that a complex X is DC-projective if and only if each degree of X is a DC-projective module and Hom(X;H) is exact for any C-flat complex H. As immediate consequences of this result, some properties of DC-projective complexes are given. Secondly, we investigate a kind of stability of DC-projective complexes by showing that an iteration of the procedure used to define the DC-projective complexes yields exactly the DC-projective complexes. Finally, We introduce and characterize the notion of DC-projective dimension of complexes.
Cite
@article{arxiv.1502.00766,
title = {Ding projective complexes with respect to a semidualizing module},
author = {Yanhong Quan and Renyu Zhao and Chunxia Zhang},
journal= {arXiv preprint arXiv:1502.00766},
year = {2016}
}
Comments
22 pages