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Bibliographic Details
Main Authors: Gan, Wee Liang, Ta, Khoa
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2407.20428
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Table of Contents:
  • Let $FI$ be a skeleton of the category of finite sets and injective maps, and $FI^m$ the product of $m$ copies of $FI$. We prove that if an $FI^m$-module is generated in degree $\leqslant d$ and related in degree $\leqslant r$, then its regularity is bounded above by a function of $m$, $d$, and $r$.