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SPRING 2014 On growth in minimal totally acyclic complexes
Petter Andreas Bergh, David A. Jorgensen
J. Commut. Algebra 6(1): 17-31 (SPRING 2014). DOI: 10.1216/JCA-2014-6-1-17

Abstract

Given a commutative Noetherian local ring, we provide a criterion under which a minimal totally acyclic complex of free modules has symmetric growth. As a special case, we show that, whenever an image in the complex has finite complete intersection dimension, then the complex has symmetric polynomial growth.

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Petter Andreas Bergh. David A. Jorgensen. "On growth in minimal totally acyclic complexes." J. Commut. Algebra 6 (1) 17 - 31, SPRING 2014. https://doi.org/10.1216/JCA-2014-6-1-17

Information

Published: SPRING 2014
First available in Project Euclid: 2 June 2014

zbMATH: 1304.13030
MathSciNet: MR3215559
Digital Object Identifier: 10.1216/JCA-2014-6-1-17

Subjects:
Primary: 13D07 , 13D25 , 18E30

Keywords: finitely generated cohomology , symmetric growth , Totally acyclic complexes

Rights: Copyright © 2014 Rocky Mountain Mathematics Consortium

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Vol.6 • No. 1 • SPRING 2014
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