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http://dx.doi.org/10.4134/JKMS.2007.44.4.747

ON THE PRINCIPAL IDEAL THEOREM  

Son, Jung-Je (DEPARTMENT OF MATHEMATICS KOREA UNIVERSITY)
Kwon, Soun-Hi (DEPARTMENT OF MATHEMATICS EDUCATION KOREA UNIVERSITY)
Publication Information
Journal of the Korean Mathematical Society / v.44, no.4, 2007 , pp. 747-756 More about this Journal
Abstract
In this paper we give an example of imaginary quadratic number field k such that every ideal of k becomes principal in some proper subfields of the Hilbert class field of k.
Keywords
Hilbert class field; principal ideal theorem; Hilbert's Theorem;
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