English

The Wedderburn-Artin Theorem

Rings and Algebras 2024-05-09 v1

Abstract

The celebrated Wedderburn-Artin theorem states that a simple left artinian ring is isomorphic to the ring of matrices over a division ring. We give a short and self-contained proof which avoids the use of modules.

Keywords

Cite

@article{arxiv.2405.04588,
  title  = {The Wedderburn-Artin Theorem},
  author = {Matej Brešar},
  journal= {arXiv preprint arXiv:2405.04588},
  year   = {2024}
}

Comments

7 pages

R2 v1 2026-06-28T16:19:56.840Z