Rings with Polynomial Identity and Centrally Essential Rings

Victor Markov; Askar Tuganbaev

paper

Rings with Polynomial Identity and Centrally Essential Rings

arXiv:1902.06287

Abstract

It is proved that for any prime integer $p$ and each field $F$ of characteristic $p$ , there exists a centrally essential $F$ -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.