Central Extensions of n-Ordered Division Rings

Autor:	Igor Klep, Dejan Velušček
Rok vydání:	2005
Předmět:	Principal ideal ring Section (fiber bundle) Pure mathematics Algebra and Number Theory Noncommutative ring Mathematics::Commutative Algebra Simple ring Division ring Von Neumann regular ring Center (group theory) Division (mathematics) Mathematics
Zdroj:	Communications in Algebra. 33:3265-3281
ISSN:	1532-4125 0092-7872
DOI:	10.1081/agb-200066162
Popis:	We study central extensions of division rings with orderings of higher level. We show that orderings extend to certain immediate and inert extensions. Further, it is proven that any n-ordered division ring can be extended to a n-ordered division ring with almost real closed center. In the last section, an old theorem due to Neumann is generalized: every n-ordered division ring can be extended to a n-ordered division ring containing ℝ in its center.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::08bdb7b3306363648c970c33d7c8c27c https://doi.org/10.1081/agb-200066162 Zobrazit plný text záznamu