Generalised Mennicke–Newman lemma

Sampat Sharma ()
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Sampat Sharma: IIT Bombay

Indian Journal of Pure and Applied Mathematics, 2022, vol. 53, issue 2, 521-527

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

Keywords: Mennicke–Newman lemma; Mennicke symbol; Unimodular rows; 13C10; 13H99; 19B10; 19B14 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s13226-021-00114-8

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