International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 4, Pages 571-577
doi:10.1155/IJMMS.2005.571
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
Abstract
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.