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                                       Details for article 3 of 24 found articles
 
 
  Bezout Domains and Elliptic Curves
 
 
Title: Bezout Domains and Elliptic Curves
Author: Goldbring, Isaac
Masdeu, Marc
Appeared in: Communications in algebra
Paging: Volume 36 (2008) nr. 12 pages 4492-4499
Year: 2008-12
Contents: Let k be a fixed algebraic closure of  and k(t)ac a fixed algebraic closure of k(t). Let S ⊆ k[t]\ {0} be a multiplicative set. Let A = S-1(k[t]) and [image omitted] be the integral closure of A in k(t)ac. We use elliptic curves to develop a necessary condition on S for [image omitted] to be a Bezout domain. We give some examples of S which fail to satisfy this condition. As a consequence, we eliminate some candidates for a good Rumely domain of characteristic 0 with algebraic subring k.
Publisher: Taylor & Francis
Source file: Elektronische Wetenschappelijke Tijdschriften
 
 

                             Details for article 3 of 24 found articles
 
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