Two homological proofs of the Noetherianity of FI_G

2016/03/15 by Liping Li, Li, Liping
Mathematics · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1603.04552

openalex publication_date 2016/03/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give two homological proofs of the Noetherianity of the category FI, a fundamental result discovered by Church, Ellenberg, Farb, and Nagpal.

Citations

• Depth and the Local Cohomology of FI_G-modules
• A long exact sequence for homology of FI-modules

Related

• FI^m-modules over Noetherian rings
• Noetherian Hopf algebras
• Noetherian property of infinite EI categories
• Filtrations and Homological degrees of FI-modules
• Bounding the homology of FI-modules