A comment on the structure of graded modules over graded principal ideal domains in the context of persistent homology

2023/01/27 by Loeh, Clara
#Algebraic Topology (math.AT) #Commutative Algebra (math.AC) #Computational Geometry (cs.CG) #FOS: Computer and information sciences #FOS: Mathematics

paper · doi:10.48550/arxiv.2301.11756

Abstract

The literature in persistent homology often refers to a "structure theorem for finitely generated graded modules over a graded principal ideal domain". We clarify the nature of this structure theorem in this context.

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