Rings with Polynomial Identity and Centrally Essential Rings
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.
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