A criterion of Cohen Macaulayness of the form module

M. Azeem Khadam

A criterion of Cohen Macaulayness of the form module

Commutative Algebra 2019-08-21 v1

Authors: M. Azeem Khadam

Abstract

Let $\mathfrak{q}$ be an ideal of a Noetherian local ring $(A,\mathfrak{m})$ and $M$ a non-zero finitely generated $A$ -module. We present a criterion of Cohen-Macaulayness of the form module $G_M(\mathfrak{q})$ in terms of (non-)vanishing of a variation of local cohomology introduced in \cite{KSch}.

Keywords

cohen-macaulayness form module noetherian local ring finitely generated module local cohomology

Cite

@article{arxiv.1908.07317,
  title  = {A criterion of Cohen Macaulayness of the form module},
  author = {M. Azeem Khadam},
  journal= {arXiv preprint arXiv:1908.07317},
  year   = {2019}
}

Comments

7 pages, to appear to J. Commut. Algebra

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