Noetherian property of infinite EI categories
Wee Liang Gan, Liping Li
TL;DR
This paper extends the known Noetherian property of finitely generated FI-modules over characteristic 0 fields to a broader class of infinite EI categories under specific combinatorial conditions.
Contribution
It generalizes the Noetherian property from FI-modules to infinite EI categories, broadening the scope of algebraic structures with this property.
Findings
Finitely generated modules over certain infinite EI categories are Noetherian.
The generalization applies under specific combinatorial conditions.
The result extends classical FI-module theory to more general categories.
Abstract
It is known that finitely generated FI-modules over a field of characteristic 0 are Noetherian. We generalize this result to the abstract setting of an infinite EI category satisfying certain combinatorial conditions.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology