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An inductive method for OI-modules

2019/09/03 by Gan, Wee Liang, Li, Liping
#Commutative Algebra (math.AC) #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1909.01261

Abstract

In this paper we introduce an inductive method to study OI-modules presented in finite degrees, where 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-modules.

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