Hempel, NadjaPalacín Cruz, Daniel2024-02-032024-02-032018-02-01Hempel, N., Palacín, D.: Division rings with ranks. Proc. Amer. Math. Soc. 146, 803-817 (2017). https://doi.org/10.1090/proc/137520002-99391088-682610.1090/proc/13752https://hdl.handle.net/20.500.14352/98554Any 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.engAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/journal articlehttps//doi.org/10.1090/proc/13752open accessLógica simbólica y matemática (Matemáticas)1102.10 Teoría de Modelos