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Metamathematical Considerations On The Relative Irreducibility Of Polynomials

Published online by Cambridge University Press:  20 November 2018

P. C. Gilmore  and
A. Robinson
P. C. Gilmore
Affiliation:
Pennsylvania State College
A. Robinson
Affiliation:
University of Toronto
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1. Introduction. In this paper, infinite fields K will be discussed which satisfy the following condition :

CONDITION C: for any polynomial p(t, x) in x, coefficients in K(t), t transcendental with respect to K, which has no zeros in K (t), there is a t* in K for which p(t*, x) has no zeros in K.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 7 , 1955 , pp. 483 - 489
Copyright
Copyright © Canadian Mathematical Society 1955

References

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