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

 

A note on GPIs and their coefficients


Author: Charles Lanski
Journal: Proc. Amer. Math. Soc. 98 (1986), 17-19
MSC: Primary 16A38; Secondary 16A08, 16A12
MathSciNet review: 848865
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Abstract: If $ R$ is a prime ring satisfying a GPI, then $ R$ satisfies a multilinear GPI having all its coefficients in $ R$. Also, all $ R$ bimodules in the Martindale quotient ring of $ R$ satisfy the same multilinear GPIs.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1986-0848865-6
PII: S 0002-9939(1986)0848865-6
Keywords: Generalized polynomial identity
Article copyright: © Copyright 1986 American Mathematical Society