English

Generalised Mennicke-Newman lemma

Commutative Algebra 2026-04-03 v2

Abstract

Mennicke--Newman lemma for unimodular rows was used by W. van der Kallen to give a group structure on the orbit set Umn(R)En(R)\frac{Um_{n}(R)}{E_{n}(R)} for a commutative noetherian ring of dimension d2n4.d\leq 2n-4. In this paper, we generalise the Mennicke--Newman lemma for m×nm\times n right invertible matrices.

Keywords

Cite

@article{arxiv.2106.05548,
  title  = {Generalised Mennicke-Newman lemma},
  author = {Sampat Sharma},
  journal= {arXiv preprint arXiv:2106.05548},
  year   = {2026}
}
R2 v1 2026-06-24T03:02:39.472Z