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2018 The core of an ideal in Cohen-Macaulay rings
Christine Cumming
J. Commut. Algebra 10(2): 163-170 (2018). DOI: 10.1216/JCA-2018-10-2-163

Abstract

The core of an ideal $I$ is the intersection of all reductions of $I$. We prove that the core behaves well under extension to the trivial extension. Also, we describe the core as a colon ideal of a power of any reduction and a power $I$, for a class of ideals $I$ in Cohen-Macaulay rings.

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Christine Cumming. "The core of an ideal in Cohen-Macaulay rings." J. Commut. Algebra 10 (2) 163 - 170, 2018. https://doi.org/10.1216/JCA-2018-10-2-163

Information

Published: 2018
First available in Project Euclid: 13 August 2018

zbMATH: 06917491
MathSciNet: MR3842332
Digital Object Identifier: 10.1216/JCA-2018-10-2-163

Subjects:
Primary: 13A30

Rights: Copyright © 2018 Rocky Mountain Mathematics Consortium

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Vol.10 • No. 2 • 2018
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