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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

GPIs having coefficients in Utumi quotient rings


Author: Chen-Lian Chuang
Journal: Proc. Amer. Math. Soc. 103 (1988), 723-728
MSC: Primary 16A38; Secondary 16A08, 16A12
MathSciNet review: 947646
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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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1988-0947646-4
PII: S 0002-9939(1988)0947646-4
Keywords: Generalized polynomial identity, Utumi quotient ring, Martindale quotient ring
Article copyright: © Copyright 1988 American Mathematical Society