Work

Linear groups over a locally linear division ring

Year: 2010

Type: preprint

Abstract: 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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1012.5745

Authors: Hai, Bui Xuan, Bien, Mai Hoang, Deo, Trinh Thanh

Institutions: Ho Chi Minh City University of Architecture, Ho Chi Minh City University of Science

Language: English

Topic: Rings, Modules, and Algebras

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1565833102

Cites: 6

Cited by:

Related to: 20