English

Vanishing of stable homology with respect to a semidualizing module

Commutative Algebra 2017-09-11 v1 Rings and Algebras

Abstract

We investigate stable homology of modules over a commutative noetherian ring RR with respect to a semidualzing module CC, and give some vanishing results that improve/extend the known results. As a consequence, we show that the balance of the theory forces CC to be trivial and RR to be Gorenstein.

Keywords

Cite

@article{arxiv.1709.02603,
  title  = {Vanishing of stable homology with respect to a semidualizing module},
  author = {Li Liang},
  journal= {arXiv preprint arXiv:1709.02603},
  year   = {2017}
}

Comments

to appear in Front. Math. China