Algebraic Number Fields

Let R = Z[V-T]. Let a, b be nonzero elements in R. Show that there exist q, r in R such that a = ba + r and 0 < N(r) < N (b). Conclude that R is a PID. 9, CYCLOTOMIC FIELDS For a positive integer m, the splitting field of the polynomial ...

Algebraic Number Fields

Algebraic Number Fields

Algebraic Number Fields

More Books:

Cyclotomic Fields and Related Topics
Language: en
Pages: 334
Authors: Sukumar Das Adhikari
Categories: Algebraic fields
Type: BOOK - Published: 2000 - Publisher:

Books about Cyclotomic Fields and Related Topics
Algebraic Number Fields
Language: en
Pages: 219
Authors: Sukumar Das Adhikari
Categories: Mathematics
Type: BOOK - Published: 1973-08-15 - Publisher: Academic Press

Algebraic Number Fields
The Theory of Algebraic Number Fields
Language: en
Pages: 351
Authors: David Hilbert
Categories: Mathematics
Type: BOOK - Published: 2013-03-14 - Publisher: Springer Science & Business Media

A translation of Hilberts "Theorie der algebraischen Zahlkörper" best known as the "Zahlbericht", first published in 1897, in which he provides an elegantly integrated overview of the development of algebraic number theory up to the end of the nineteenth century. The Zahlbericht also provided a firm foundation for further research
13 Lectures on Fermat's Last Theorem
Language: en
Pages: 302
Authors: Paulo Ribenboim
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

Lecture I The Early History of Fermat's Last Theorem.- 1 The Problem.- 2 Early Attempts.- 3 Kummer's Monumental Theorem.- 4 Regular Primes.- 5 Kummer's Work on Irregular Prime Exponents.- 6 Other Relevant Results.- 7 The Golden Medal and the Wolfskehl Prize.- Lecture II Recent Results.- 1 Stating the Results.- 2
Algebraic Number Fields
Language: en
Pages: 276
Authors: Gerald J. Janusz
Categories: Mathematics
Type: BOOK - Published: 1996 - Publisher: American Mathematical Soc.

The book is directed toward students with a minimal background who want to learn class field theory for number fields. The only prerequisite for reading it is some elementary Galois theory. The first three chapters lay out the necessary background in number fields, such as the arithmetic of fields, Dedekind