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Generalised Mennicke–Newman lemma

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Abstract

Mennicke–Newman lemma for unimodular rows was used by W. van der Kallen to give a group structure on the orbit set \(\frac{Um_{n}(R)}{E_{n}(R)}\) for a commutative noetherian ring of dimension \(d\le 2n-4.\) In this paper, we generalise the Mennicke–Newman lemma for \(m\times n \) right invertible matrices

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Correspondence to Sampat Sharma.

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Communicated by B. Sury.

Throughout this article we will assume R to be a commutative ring with 1 ≠ 0.

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Sharma, S. Generalised Mennicke–Newman lemma. Indian J Pure Appl Math 53, 521–527 (2022). https://doi.org/10.1007/s13226-021-00114-8

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  • DOI: https://doi.org/10.1007/s13226-021-00114-8

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