Linkage of modules with respect to a semidualizing module
Commutative Algebra
2017-05-31 v1
Abstract
The notion of linkage with respect to a semidualizing module is introduced. It is shown that over a Cohen-Macaulay local ring with canonical module, every Cohen-Macaulay module of finite Gorenstein injective dimension is linked with respect to the canonical module. For a linked module with respect to a semidualizing module, the connection between the Serre condition on with the vanishing of certain local cohomology modules of its linked module is discussed.
Cite
@article{arxiv.1705.10615,
title = {Linkage of modules with respect to a semidualizing module},
author = {Mohammad-T. Dibaei and Arash Sadeghi},
journal= {arXiv preprint arXiv:1705.10615},
year = {2017}
}
Comments
16 pages. arXiv admin note: text overlap with arXiv:1507.00036, arXiv:1407.6544