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Characteristic Polynomials

Published online by Cambridge University Press:  20 November 2018

Hans Schneider
Hans Schneider*
Affiliation:
Queen's University, Belfast and Washington State College Pullman, Wash.
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Let F be a field and let V be a finite dimensional vector space over F which is also a module over the ring F[a]. Here a may lie in any extension ring of F. We do not assume, as yet, that V is a faithful module, so that a need not be a linear transformation on V. It is known that by means of a decomposition of V into cyclic F[a]-modules we may obtain a definition of the characteristic polynomial of a on V which does not involve determinants.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 9 , 1957 , pp. 60 - 67
Copyright
Copyright © Canadian Mathematical Society 1957

References

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