English

A Constructive Elementary Proof of the Skolem-Noether Theorem for Matrix Algebras

Rings and Algebras 2018-10-22 v1

Abstract

We give a constructive elementary proof for the fact that any K-automorphism of the full nxn matrix algebra over a field K is conjugation by some invertible nxn matrix A over K.

Keywords

Cite

@article{arxiv.1810.08368,
  title  = {A Constructive Elementary Proof of the Skolem-Noether Theorem for Matrix Algebras},
  author = {Jeno Szigeti and Leon van Wyk},
  journal= {arXiv preprint arXiv:1810.08368},
  year   = {2018}
}
R2 v1 2026-06-23T04:45:27.822Z