Elsevier

Journal of Algebra

Volume 231, Issue 1, 1 September 2000, Pages 342-363
Journal of Algebra

Regular Article
Tensor Rings under Field Extensions

https://doi.org/10.1006/jabr.2000.8367Get rights and content
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Abstract

We prove that a finite localization of the tensor ring FkX〉, where F is a finite Galois or simple purely inseparable extension of k of degree n, gives rise to a ring S such that S kF is isomorphic to a full n × n matrix ring over a free ideal ring.

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Communicated by Walter, Feit

f1

[email protected]

1

The author was supported partially by CNPq–Brasilia/Brazil, Grant 200228/95-1, and partially by FAPESP–São Paulo/Brazil, Grant 98/14403-8.