Title
Rational identities of matrices and a theorem of Bergman, G.M.
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
New York, N.Y. ,
Subject
Mathematics
Source (journal)
Communications in algebra. - New York, N.Y.
Volume/pages
21(1993) :7 , p. 2577-2581
ISSN
0092-7872
ISI
A1993LE11200021
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
In this note we present a short proof of a fundamental result of G.M. Bergman on the rational identities of generic division algebras. The method of proof also allows us to force some rational identities holding in n x n matrices to hold in m x m matrices also for m less-than-or-equal-to n thereby extending the classical result on polynomial identities.
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