Algebraic Number Fields

Algebraic Number Fields
Author :
Publisher : American Mathematical Soc.
Total Pages : 288
Release :
ISBN-10 : 9780821804292
ISBN-13 : 0821804294
Rating : 4/5 (294 Downloads)

Book Synopsis Algebraic Number Fields by : Gerald J. Janusz

Download or read book Algebraic Number Fields written by Gerald J. Janusz and published by American Mathematical Soc.. This book was released on 1996 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents the basic information about finite dimensional extension fields of the rational numbers, algebraic number fields, and the rings of algebraic integers in them. The important theorems regarding the units of the ring of integers and the class group are proved and illustrated with many examples given in detail. The completion of an algebraic number field at a valuation is discussed in detail and then used to provide economical proofs of global results. The book contains many concrete examples illustrating the computation of class groups, class numbers, and Hilbert class fields. Exercises are provided to indicate applications of the general theory.


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