FREE GROUP-ALGEBRAS IN CERTAIN DIVISION RINGS

Authors
FIGUEIREDO LMV GONCALVES JZ SHIRVANI M
Citation
Lmv. Figueiredo et al., FREE GROUP-ALGEBRAS IN CERTAIN DIVISION RINGS, Journal of algebra, 185(2), 1996, pp. 298-313
Citations number
12
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Journal of algebra → ACNP
ISSN journal
00218693
Volume
185
Issue
2
Year of publication
1996
Pages
298 - 313
Database
ISI
SICI code
0021-8693(1996)185:2<298:FGICDR>2.0.ZU;2-O
Abstract
Let D be a division ring with centre k. We show that D contains the k- group algebra of the free group on two generators when D is the ring o f fractions of a suitable skew polynomial ring, or it is generated by a polycyclic-by-finite group which is not abelian-by-finite, or it is the ring of fractions of the universal enveloping algebra of a finite- dimensional Lie algebra of characteristic zero. (C) 1996 Academic Pres s, Inc.