On completion of unimodular rows over polynomial extension of finitely\n generated rings over \ℤ

2020/05/06 by Sampat Sharma, Sharma, Sampat
Mathematics · #Advanced Topics in Algebra #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2005.03485

openalex publication_date 2020/05/06 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

In this article, we prove that if R is a finitely generated ring over\n\ℤ of dimension d, d\≥2, \(1)/(d!)\∈ R, then any unimodular\nrow over R[X] of length d+1 can be mapped to a factorial row by elementary\ntransformations.\n

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