English

A Short Proof of K\"othe's Conjecture for Compact Rings

Rings and Algebras 2019-11-26 v2

Abstract

We provide a new proof that the upper nilradical of a compact ring coincides with the sum of its left nil ideals using the properties of orthogonal idempotents in compact rings.

Keywords

Cite

@article{arxiv.1911.04262,
  title  = {A Short Proof of K\"othe's Conjecture for Compact Rings},
  author = {Scott Goodson and Alex Taylor},
  journal= {arXiv preprint arXiv:1911.04262},
  year   = {2019}
}

Comments

An error in the proof of the main theorem has been corrected