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

Title:

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

Creator:

Cater, F. S.

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:530ebdc0-1d22-413a-876e-a8f6ea544b69
uuid:530ebdc0-1d22-413a-876e-a8f6ea544b69

Subject:

field, subfield, isomorphism, transcendental extension, and algebraic extension

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

717-720

Source:

Czechoslovak Mathematical Journal | 2002 Volume:52 | Number:4

Harvested from:

CDK

Metadata only:

false