English

On Stably free modules over Laurent polynomial rings

Commutative Algebra 2010-12-17 v1

Abstract

We prove constructively that for any finite-dimensional commu- tative ring R, every stably free module over R[X;X^{1}] of rank > dim R is free, i.e., R[X;X^{-1}] is (dimR)-Hermite.

Cite

@article{arxiv.1012.3540,
  title  = {On Stably free modules over Laurent polynomial rings},
  author = {Abed Abedelfatah},
  journal= {arXiv preprint arXiv:1012.3540},
  year   = {2010}
}

Comments

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R2 v1 2026-06-21T16:59:36.502Z