English

Rings with Polynomial Identity and Centrally Essential Rings

Rings and Algebras 2019-02-19 v1

Abstract

It is proved that for any prime integer pp and each field FF of characteristic pp, there exists a centrally essential FF-algebra which is not a PI-ring and is not algebraic over its center. Victor Markov is supported by the Russian Foundation for Basic Research, project 17-01-00895-A. Askar Tuganbaev is supported by Russian Scientific Foundation, project 16-11-10013.

Keywords

Cite

@article{arxiv.1902.06287,
  title  = {Rings with Polynomial Identity and Centrally Essential Rings},
  author = {Victor Markov and Askar Tuganbaev},
  journal= {arXiv preprint arXiv:1902.06287},
  year   = {2019}
}
R2 v1 2026-06-23T07:43:02.948Z