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Title
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Rational identities of matrices and a theorem of Bergman, G.M.
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Author
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Abstract
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| 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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Language
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English
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Source (journal)
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Communications in algebra. - New York, N.Y.
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Publication
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New York, N.Y.
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1993
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ISSN
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0092-7872
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Volume/pages
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21
:7
(1993)
, p. 2577-2581
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ISI
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A1993LE11200021
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Full text (Publisher's DOI)
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