SIMULTANEOUS EMBEDDINGS OF FINITE DIMENSIONAL DIVISION ALGEBRAS.
- Resource Type
- Article
- Authors
- ROWEN, LOUIS; SALTMAN, DAVID
- Source
- Proceedings of the American Mathematical Society. Mar2013, Vol. 141 Issue 3, p737-744. 8p.
- Subject
- *EMBEDDINGS (Mathematics)
*DIMENSION theory (Algebra)
*DIVISION algebras
*PROFINITE groups
*ALGEBRAIC geometry
*QUASIGROUPS
- Language
- ISSN
- 0002-9939
L. Small asked whether two finite dimensional division algebras containing a common central subfield F are embeddable in a common division algebra. Although we have a counterexample, the question is answered affirmatively for division algebras whose centers are finitely generated over a common perfect subfield. [ABSTRACT FROM AUTHOR]