Mathematics, Department of
Department of Mathematics: Faculty Publications
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Document Type
Article
Date of this Version
1949
Abstract
We prove the following theorem.
THEOREM 1. Let D be any commutative principal ideal ring without divisors of zero, and A any matrix with elements in D whose characteristic equation factors into linear factors in D. Then there exists a unimodular matrix T, with elements in D, such that T-1 AT has zeros below the main diagonal.
Comments
Published in Bull. Amer. Math. Soc. 55 (1949) 117-118. Used by permission.