GPIs having coefficients in Utumi quotient rings

Chuang, Chen-Lian

doi:10.1090/S0002-9939-1988-0947646-4

GPIs having coefficients in Utumi quotient rings
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Proc. Amer. Math. Soc. 103 (1988), 723-728 Request permission

Abstract:

Let $R$ be a prime ring and let $U$ be its Utumi quotient ring. We prove the following: (1) If $R$ satisfies a GPI having all its coefficients in $U$, then $R$ satisfies a GPI having all its coefficients in $R$. (2) $R$ and $U$ satisfy the same GPIs having their coefficients in $U$.

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