2015/05/07 by Wee Liang Gan, Liping Li, Gan, Wee Liang +1 · 1 citation
Mathematics · #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT) #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.1505.01777
openalex publication_date 2015/05/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that the FI-homology of an FI-module can be computed via a Koszul complex. As an application, we prove that the Castelnuovo-Mumford regularity of a finitely generated torsion FI-module is equal to its degree.