English

A note on Amitsur's noncrossed product theorem

Rings and Algebras 2024-01-09 v1

Abstract

In this note we give a short and elementary proof for a part of Amitsur's noncrossed product theorem. Our approach does not rely on well-known results of valuation theory. Instead, we employ some preliminary properties of the unit groups of formal iterated Laurent series division rings.

Keywords

Cite

@article{arxiv.2401.03574,
  title  = {A note on Amitsur's noncrossed product theorem},
  author = {Mehran Motiee},
  journal= {arXiv preprint arXiv:2401.03574},
  year   = {2024}
}
R2 v1 2026-06-28T14:10:44.632Z