Colength, multiplicity, and ideal closure operations

2019/07/01 by Linquan Ma, Ma, Linquan, Phạm Hùng Quý +3
Mathematics · Computer Science · #Commutative Algebra and Its Applications #Rings, Modules, and Algebras #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1907.00951

Abstract

In a formally unmixed Noetherian local ring, if the colength and multiplicity of an integrally closed ideal agree, then R is regular. We deduce this using the relationship between multiplicity and various ideal closure operations.

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