$I$-Cohen Macaulay modules

Waqas Mahmood; Maria Azam

$I$-Cohen Macaulay modules

Commutative Algebra 2019-06-04 v1

Authors: Waqas Mahmood , Maria Azam

Abstract

A finitely generated module $M$ over a commutative Noetherian ring $R$ is called an $I$ -Cohen Macaulay module, if $\grade(I,M) + \dim(M/IM)= \dim(M),$ where $I$ is a proper ideal of $R$ . The aim of this paper is to study the structure of this class of modules. It is discovered that $I$ -Cohen Macaulay modules enjoy many interesting properties which are analogous to those of Cohen Macaulay modules. Also, various characterizations of $I$ -Cohen Macaulay modules are presented here.

Keywords

cohen-macaulay rings and modules module theory commutative algebra

Cite

@article{arxiv.1906.00143,
  title  = {$I$-Cohen Macaulay modules},
  author = {Waqas Mahmood and Maria Azam},
  journal= {arXiv preprint arXiv:1906.00143},
  year   = {2019}
}

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