Open Access
March 2021 On cohomologically complete intersection modules
Waqas Mahmood
Author Affiliations +
Hiroshima Math. J. 51(1): 1-12 (March 2021). DOI: 10.32917/h2019073

Abstract

In this paper, several necessary and sufficient conditions are presented for a module $M$ to be cohomologically complete intersection module with respect to $I$, i.e. $H_I^i(M)=0$ for all $i \not= c = \mathrm{grade}(I, M)$. This notion is a generalization of cohomologically complete intersection ideals.

Acknowledgement

The author is grateful to the reviewers for suggestions to improve the manuscript.

Citation

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Waqas Mahmood. "On cohomologically complete intersection modules." Hiroshima Math. J. 51 (1) 1 - 12, March 2021. https://doi.org/10.32917/h2019073

Information

Received: 28 June 2019; Revised: 31 August 2020; Published: March 2021
First available in Project Euclid: 19 April 2021

Digital Object Identifier: 10.32917/h2019073

Subjects:
Primary: 13D45

Keywords: Cohomologically complete intersection modules , Ext modules , local cohomology , Tor modules

Rights: Copyright © 2021 Hiroshima University, Mathematics Program

Vol.51 • No. 1 • 2021
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