English

An inductive method for $\mathrm{OI}$-modules

Representation Theory 2020-06-02 v2 Commutative Algebra Rings and Algebras

Abstract

In this paper we introduce an inductive method to study OI\mathrm{OI}-modules presented in finite degrees, where OI\mathrm{OI} is a skeleton of the category of finitely totally ordered sets and strictly increasing maps. As an application, we obtain an explicit upper bound for the Castelnuovo-Mumford regularity of OI\mathrm{OI}-modules.

Keywords

Cite

@article{arxiv.1909.01261,
  title  = {An inductive method for $\mathrm{OI}$-modules},
  author = {Wee Liang Gan and Liping Li},
  journal= {arXiv preprint arXiv:1909.01261},
  year   = {2020}
}

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Minor revisions added

R2 v1 2026-06-23T11:04:15.250Z