Polynomial identity algebras with involution
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- by Susan Montgomery PDF
- Proc. Amer. Math. Soc. 27 (1971), 53-56 Request permission
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 $F$.References
- S. A. Amitsur, Rings with involution, Israel J. Math. 6 (1968), 99–106. MR 238896, DOI 10.1007/BF02760175
- W. E. Baxter and W. S. Martindale III, Rings with involution and polynomial identities, Canadian J. Math. 20 (1968), 465–473. MR 222116, DOI 10.4153/CJM-1968-043-6
- I. N. Herstein, Noncommutative rings, The Carus Mathematical Monographs, No. 15, Mathematical Association of America; distributed by John Wiley & Sons, Inc., New York, 1968. MR 0227205
- C. Procesi, The Burnside problem, J. algebra 4 (1966), 421–425. MR 0212081, DOI 10.1016/0021-8693(66)90031-7
Additional Information
- © Copyright 1971 American Mathematical Society
- 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