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Fall 2020 About a variation of local cohomology
M. Azeem Khadam, Peter Schenzel
J. Commut. Algebra 12(3): 353-370 (Fall 2020). DOI: 10.1216/jca.2020.12.353

Abstract

Let 𝔮 denote an ideal of a local ring (A,𝔪). For a system of elements a¯=a1,,at such that ai𝔮ci,i=1,,t, and n we investigate a subcomplex and a factor complex of the Čech complex Ča¯AM for a finitely generated A-module M. We start with the inspection of these cohomology modules that approximate in a certain sense the local cohomology modules Ha¯i(M) for all i. In the case of an 𝔪-primary ideal a¯A we prove the Artinianness of these cohomology modules and characterize the last nonvanishing among them.

Citation

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M. Azeem Khadam. Peter Schenzel. "About a variation of local cohomology." J. Commut. Algebra 12 (3) 353 - 370, Fall 2020. https://doi.org/10.1216/jca.2020.12.353

Information

Received: 16 March 2017; Revised: 29 August 2017; Accepted: 5 September 2017; Published: Fall 2020
First available in Project Euclid: 5 September 2020

zbMATH: 07246824
MathSciNet: MR4146365
Digital Object Identifier: 10.1216/jca.2020.12.353

Subjects:
Primary: 13D45
Secondary: 13D40

Rights: Copyright © 2020 Rocky Mountain Mathematics Consortium

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Vol.12 • No. 3 • Fall 2020
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