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Azumaya algebras and rings with polynomial identity (Addendum)

Published online by Cambridge University Press:  24 October 2008

Alfred Goldie
Alfred Goldie
Affiliation:
University of Leeds
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Extract

In the paper published in Mathematical Proceedings 79, 393–399, there is a gap in the proof of Theorem 2 which may present a difficulty to the reader. It occurs in the proof of non-degeneracy of the map g in the ring of matrices Zn, where Z is a finite field. Matrices are chosen, the first is diagonal with distinct entries and the others are

When n is larger than the number of elements in Z, then such an x0 does not exist in Zn. The argument can, however, be sustained in the following way.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 80 , Issue 2 , September 1976 , pp. 383 - 384
Copyright
Copyright © Cambridge Philosophical Society 1976

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