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Notes on linkage of modules

Part of: Theory of modules and ideals Commutative algebra: Homological methods

Published online by Cambridge University Press:  13 June 2019

Arash Sadeghi
Arash Sadeghi*
Affiliation:
School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5746, Tehran, Iran ([email protected])
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Abstract

Let R be a Cohen–Macaulay local ring. It is shown that under some mild conditions, the Cohen–Macaulay property is preserved under linkage. We also study the connection of the (Sn) locus of a horizontally linked module and the attached primes of certain local cohomology modules of its linked module.

Keywords

linkage of modulesattached primelocal cohomology

MSC classification

Primary: 13C40: Linkage, complete intersections and determinantal ideals
Secondary: 13D45: Local cohomology 13D05: Homological dimension 13C14: Cohen-Macaulay modules
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 62 , Issue 4 , November 2019 , pp. 1045 - 1062
Copyright
Copyright © Edinburgh Mathematical Society 2019 

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