Abstract
We give a criterion for rings with which are obtained as connected sums of two other rings to have nontrivial totally acyclic modules.
Citation
Adela Vraciu. "Totally Reflexive Modules Over Connected Sums with ." 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
MathSciNet: MR4366838
zbMATH: 1480.13012
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
