RT Journal Article
T1 Division rings with ranks
A1 Hempel, Nadja
A1 Palacín Cruz, Daniel
AB Any superrosy division ring is shown to be centrally finite. Furthermore, division rings satisfying a generalized chain condition on definable subgroups are studied. In particular, a division ring of burden n has dimension at most n over its center, and any definable group of definable automorphisms of a field of burden n has size at most n. Additionally, an alternative proof that division rings interpretable in o-minimal structures are algebraically closed, real closed or the quaternions over a real closed field is given.
PB AMS
SN 0002-9939
SN 1088-6826
YR 2018
FD 2018-02-01
LK https://hdl.handle.net/20.500.14352/98554
UL https://hdl.handle.net/20.500.14352/98554
LA eng
NO Hempel, N., Palacín, D.: Division rings with ranks. Proc. Amer. Math. Soc. 146, 803-817 (2017). https://doi.org/10.1090/proc/13752
DS Docta Complutense
RD 5 abr 2025