International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 4, Pages 571-577

Nicely semiramified division algebras over Henselian fields

Karim Mounirh

Département des Mathématiques et d'Informatique, Faculté des Sciences Dhar El Mehraz, Université Sidi Mohamed Ben Abdellah, B.P. 1796, Atlas, Morocco

Received 5 July 2004

Copyright © 2005 Karim Mounirh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper deals with the structure of nicely semiramified valued division algebras. We prove that any defectless finite-dimensional central division algebra over a Henselian field E with an inertial maximal subfield and a totally ramified maximal subfield (not necessarily of radical type) (resp., split by inertial and totally ramified field extensions of E) is nicely semiramified.