English

Noncommutative Henselizations

Rings and Algebras 2021-01-21 v1

Abstract

In this paper, the familiar notion of a Henselian pair is extended to the noncommutative case. Furthermore, the problem of Henselizations is studied in the noncommutative context, and it is shown that every (not necessarily commutative) pair which is Hausdorff with respect to a certain topology has a left (and right) Henselization.

Keywords

Cite

@article{arxiv.2101.08098,
  title  = {Noncommutative Henselizations},
  author = {Masood Aryapoor},
  journal= {arXiv preprint arXiv:2101.08098},
  year   = {2021}
}
R2 v1 2026-06-23T22:21:00.817Z