GPIs having coefficients in Utumi quotient rings

Author:

Chuang Chen-Lian

Abstract

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

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference9 articles.

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4. Differential identities of prime rings;Harčenko, V. K.;Algebra i Logika,1978

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