LINKAGE OF IDEALS OVER A MODULE

Document Type : Original Manuscript

Authors

1 Faculty of Mathematical Sciences and Computer, Kharazmi University, P.O. Box 1561836314, Tehran, Iran.

2 Faculty of Mathematical Sciences and Computer, Kharazmi University, P.O. Box 1561836314, Tehran, Iran. Email: sayyarikh@gmail.

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≠0 (an ideal of R) and b:=0:Ra then Ra is Cohen-Macaulay if and only if Ra is unmixed and Rb is Cohen-Macaulay.

Keywords

Journal of Algebraic Systems
Volume 8, Issue 2
January 2021
Pages 269-281

Files

Share

How to cite

Statistics