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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Polynomial identity algebras with involution


Author: Susan Montgomery
Journal: Proc. Amer. Math. Soc. 27 (1971), 53-56
MSC: Primary 16.49
DOI: https://doi.org/10.1090/S0002-9939-1971-0269695-1
MathSciNet review: 0269695
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Abstract: It has been shown by W. Baxter and W. S. Martindale that if $ R$ is an algebra with involution over a field $ F$ of characteristic not 2, and the symmetric elements of $ R$ are algebraic and satisfy a polynomial identity, then $ R$ is locally finite. This paper extends their result to an arbitrary field, giving a new proof which is independent of the characteristic of $ F$.


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DOI: https://doi.org/10.1090/S0002-9939-1971-0269695-1
Keywords: Rings with involution, polynomial identity, algebraic algebras
Article copyright: © Copyright 1971 American Mathematical Society

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