TY - JOUR AU - Hempel, Nadja AU - PalacĂ­n Cruz, Daniel PY - 2018 DO - 10.1090/proc/13752 SN - 0002-9939 SN - 1088-6826 UR - https://hdl.handle.net/20.500.14352/98554 T2 - Proceedings of the American Mathematical Society 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,... LA - eng M2 - 803 PB - AMS TI - Division rings with ranks TY - journal article VL - 146 ER -