Generalised Mennicke-Newman lemma

2021/06/10 by Sharma, Sampat
#Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2106.05548

Abstract

Mennicke--Newman lemma for unimodular rows was used by W. van der Kallen to give a group structure on the orbit set \fracUm_n(R)E_n(R) for a commutative noetherian ring of dimension d≤ 2n-4. In this paper, we generalise the Mennicke--Newman lemma for m× n right invertible matrices.

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