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

@article{Cater2002,
abstract = {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.},
author = {Cater, F. S.},
journal = {Czechoslovak Mathematical Journal},
keywords = {field; subfield; isomorphism; transcendental extension; algebraic extension; subfield; isomorphism; transcendental extension; algebraic extension},
language = {eng},
number = {4},
pages = {717-720},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Note on a variation of the Schröder-Bernstein problem for fields},
url = {http://eudml.org/doc/30737},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Cater, F. S.
TI - Note on a variation of the Schröder-Bernstein problem for fields
JO - Czechoslovak Mathematical Journal
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 52
IS - 4
SP - 717
EP - 720
AB - 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.
LA - eng
KW - field; subfield; isomorphism; transcendental extension; algebraic extension; subfield; isomorphism; transcendental extension; algebraic extension
UR - http://eudml.org/doc/30737
ER -