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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.

On a pair of automorphisms of $C^{*}$ -algebras

F. S. Cater; A. B. Thaheem — 1996

Rendiconti del Seminario Matematico della Università di Padova

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

On a pair of automorphisms of C * -algebras

On a pair of automorphisms of $C^{*}$ -algebras