English

Sorry, the nilpotents are in the center

Rings and Algebras 2020-06-22 v4

Abstract

The behavior of nilpotents can reveal valuable information about the algebra. We give a simple proof of a classic result that a finite ring is commutative if all its nilpotents lie in the center.

Keywords

Cite

@article{arxiv.1805.11451,
  title  = {Sorry, the nilpotents are in the center},
  author = {Vineeth Chintala},
  journal= {arXiv preprint arXiv:1805.11451},
  year   = {2020}
}

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4 pages