Metamathematical Considerations On The Relative Irreducibility Of Polynomials
- 1 January 1955
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 7, 483-489
- https://doi.org/10.4153/cjm-1955-051-7
Abstract
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.Keywords
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