English

Linkage of finite G_C-dimension modules

Commutative Algebra 2015-07-02 v1

Abstract

Let R be a semiperfect commutative Noetherian ring and C a semidualizing R-module. We study the theory of linkage for modules of finite G_C-dimension. For a horizontally linked R-module M of finite G_C-dimension, the connection of the Serre condition (S_n) with the vanishing of certain relative cohomology modules of its linked module is discussed.

Keywords

Cite

@article{arxiv.1507.00036,
  title  = {Linkage of finite G_C-dimension modules},
  author = {Arash Sadeghi},
  journal= {arXiv preprint arXiv:1507.00036},
  year   = {2015}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1407.6544