Clemens Adelmann - The Decomposition of Primes in Torsion Point Fields
2001 | ISBN: 3540420355 | English | 148 pages | PDF | 1 MB
2001 | ISBN: 3540420355 | English | 148 pages | PDF | 1 MB
It is an historical goal of algebraic number theory to relate all algebraic extensionsofanumber?eldinauniquewaytostructuresthatareexclusively described in terms of the base ?eld. Suitable structures are the prime ideals of the ring of integers of the considered number eld. By examining the behaviouroftheprimeidealswhenembeddedintheextension?eld,su?cient information should be collected to distinguish the given extension from all other possible extension elds…