On growth in totally acyclic minimal complexes
Petter Andreas Bergh, David A. Jorgensen
TL;DR
This paper establishes a criterion for symmetric growth in totally acyclic minimal complexes of free modules over commutative Noetherian local rings, enhancing understanding of their structural properties.
Contribution
It introduces a new criterion that determines when totally acyclic minimal complexes exhibit symmetric growth, advancing the theory in homological algebra.
Findings
Identifies conditions for symmetric growth in complexes
Provides a criterion applicable to commutative Noetherian local rings
Enhances understanding of acyclic complexes' structural behavior
Abstract
Given a commutative Noetherian local ring, we provide a criterion under which a totally acyclic minimal complex of free modules has symmetric growth.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology