A Theorem Concerning Three Fields
- 1 January 1955
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 7, 202-203
- https://doi.org/10.4153/cjm-1955-025-7
Abstract
Several authors (1; 2; 3; 4; 5; 6) have recently studied the existence and non-existence of certain types of extensions of a given field. In this note we prove a theorem closely related to these results which, in a sense, contains essential portions of each of these.Keywords
This publication has 5 references indexed in Scilit:
- On an Existence Lemma in Valuation TheoryNagoya Mathematical Journal, 1953
- The Structure of a Certain Class of RingsAmerican Journal of Mathematics, 1953
- On the Commutativity of Certain Division RingsCanadian Journal of Mathematics, 1953
- The Non-Existence of Certain ExtensionsAmerican Journal of Mathematics, 1953
- A Theorem on Division RingsCanadian Journal of Mathematics, 1951