Article
Subrings in Quadratic Fields Which are Not Universal for GE₂

Authors: You H.; Chen S.

Source: Quarterly Journal of Mathematics, Volume 54, Number 2, June 2003 , pp. 233-241(9)

Publisher: Oxford University Press

Abstract:

Let F be a quadratic field and let S be a finite set of places containing S, the set of infinite places in F. Let v be a finite place outside S, S = S {v}, R = O_S, and R = O_S. In this paper, some examples are given to show that if the prime ideal P in R corresponding to v is non-principal or the natural homomorphism R^* (R/P)^* is not surjective then, although R is universal for GE₂, R may not be universal for GE₂.

Language: English

Document Type: Original article

Affiliations: 1: Department of Mathematics, Harbin Institute of Technology, Harbin 150001, P. R. China

Publication date: 2003-06-01

• The Quarterly Journal of Mathematics publishes original contributions to pure mathematics. Areas such as algebra, differential geometry, and global analysis receive particular emphasis. However the journal avoids specialization.

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• In this Subject: Mathematics and Statistics
• By this author: You H. ;  Chen S.

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