Linear groups over a locally linear division ring

In this paper, in the first we give definitions of some classes of division rings which strictly contain the class of centrally finite division rings. One of our main purpose is to construct non-trivial examples of rings of new defined classes. Further, we study linear groups over division rings of...

Full description

Saved in:
Bibliographic Details
Published inarXiv.org
Main Authors Bui, Xuan Hai, Mai Hoang Bien, Trinh Thanh Deo
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 15.03.2011
Online AccessGet full text

Cover

More Information
Summary:In this paper, in the first we give definitions of some classes of division rings which strictly contain the class of centrally finite division rings. One of our main purpose is to construct non-trivial examples of rings of new defined classes. Further, we study linear groups over division rings of these classes. Our new obtained results generalize precedent results for centrally finite division rings.
ISSN:2331-8422