@article {
author = {Jahangiri, M. and Sayyari, Kh.},
title = {LINKAGE OF IDEALS OVER A MODULE},
journal = {Journal of Algebraic Systems},
volume = {8},
number = {2},
pages = {269-281},
year = {2021},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2020.9180.1447},
abstract = {Inspired by the works in linkage theory of ideals, we define the concept of linkage of ideals over a module. Several known theorems in linkage theory are improved or recovered. Specially, we make some extensions and generalizations of a basic result of Peskine and Szpiro \cite[Proposition 1.3]{PS}, namely if $R$ is a Gorenstein local ring, $ a \neq 0$ (an ideal of $R$) and $ b := 0:_R a$ then $\frac{R}{a}$ is Cohen-Macaulay if and only if $\frac{R}{a}$ is unmixed and $\frac{R}{ b}$ is Cohen-Macaulay.},
keywords = {Linkage of ideals,Cohen-Macaulay modules,canonical module},
url = {https://jas.shahroodut.ac.ir/article_1956.html},
eprint = {https://jas.shahroodut.ac.ir/article_1956_05388a6d1c144832a0ff693aef3886a5.pdf}
}