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Winter 2021 Totally Reflexive Modules Over Connected Sums with m3=0
Adela Vraciu
J. Commut. Algebra 13(4): 571-582 (Winter 2021). DOI: 10.1216/jca.2021.13.571

Abstract

We give a criterion for rings with 𝔪3=0 which are obtained as connected sums of two other rings to have nontrivial totally acyclic modules.

Citation

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Adela Vraciu. "Totally Reflexive Modules Over Connected Sums with m3=0." J. Commut. Algebra 13 (4) 571 - 582, Winter 2021. https://doi.org/10.1216/jca.2021.13.571

Information

Received: 10 December 2018; Revised: 6 May 2019; Accepted: 15 May 2019; Published: Winter 2021
First available in Project Euclid: 18 January 2022

Digital Object Identifier: 10.1216/jca.2021.13.571

Subjects:
Primary: 13D02

Keywords: Betti numbers , connected sum , fiber product , totally acyclic complex , Totally reflexive modules

Rights: Copyright © 2021 Rocky Mountain Mathematics Consortium

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Vol.13 • No. 4 • Winter 2021
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