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Note on a variation of the Schröder-Bernstein problem for fields

F. S. Cater (2002)

Czechoslovak Mathematical Journal

In this note we study fields F with the property that the simple transcendental extension F ( u ) of F is isomorphic to some subfield of F but not isomorphic to F . Such a field provides one type of solution of the Schröder-Bernstein problem for fields.

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