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Spring 2021 Asymptotic depth of Ext modules over complete intersection rings
Provanjan Mallick, Tony J. Puthenpurakal
J. Commut. Algebra 13(1): 117-127 (Spring 2021). DOI: 10.1216/jca.2021.13.117

Abstract

Let (A,𝔪) be a local complete intersection ring and let I be an ideal in A. Let M, N be finitely generated A-modules. Then for l=0,1, the values depthExtA2i+l(M,NInN) become independent of i, n for i,n0. We also show that if 𝔭 is a prime ideal in A then the j-th Bass numbers μj(𝔭,ExtA2i+l(M,NInN)) have polynomial growth in (n,i) with rational coefficients for all sufficiently large (n,i).

Citation

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Provanjan Mallick. Tony J. Puthenpurakal. "Asymptotic depth of Ext modules over complete intersection rings." J. Commut. Algebra 13 (1) 117 - 127, Spring 2021. https://doi.org/10.1216/jca.2021.13.117

Information

Received: 18 May 2018; Revised: 16 August 2018; Accepted: 21 August 2018; Published: Spring 2021
First available in Project Euclid: 28 May 2021

Digital Object Identifier: 10.1216/jca.2021.13.117

Subjects:
Primary: 13A18, 13A30, 13D07
Secondary: 13A15, 13H10

Rights: Copyright © 2021 Rocky Mountain Mathematics Consortium

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Vol.13 • No. 1 • Spring 2021
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