Logo

Notes on the Theory of Algebraic Numbers

Small book cover: Notes on the Theory of Algebraic Numbers

Notes on the Theory of Algebraic Numbers
by

Publisher: arXiv
Number of pages: 127

Description:
This is a series of lecture notes on the elementary theory of algebraic numbers, using only knowledge of a first-semester graduate course in algebra (primarily groups and rings). No prerequisite knowledge of fields is required.

Home page url

Download or read it online for free here:
Download link
(710KB, PDF)

Similar books

Book cover: Algebraic Number TheoryAlgebraic Number Theory
by
Contents: Preliminaries From Commutative Algebra; Rings of Integers; Dedekind Domains; Factorization; The Finiteness of the Class Number; The Unit Theorem; Cyclotomic Extensions; Fermat's Last Theorem; Valuations; Local Fields; Global Fields.
(11459 views)
Book cover: Complex MultiplicationComplex Multiplication
by
These are preliminary notes for a modern account of the theory of complex multiplication. The reader is expected to have a good knowledge of basic algebraic number theory, and basic algebraic geometry, including abelian varieties.
(6980 views)
Book cover: An Introduction to Algebraic Number TheoryAn Introduction to Algebraic Number Theory
by - Nanyang Technological University
Contents: Algebraic numbers and algebraic integers (Rings of integers, Norms and Traces); Ideals (Factorization and fractional ideals, The Chinese Theorem); Ramification theory; Ideal class group and units; p-adic numbers; Valuations; p-adic fields.
(7171 views)
Book cover: Introduction to Algebraic Number TheoryIntroduction to Algebraic Number Theory
by - University of Washington
Topics in this book: Rings of integers of number fields; Unique factorization of ideals in Dedekind domains; Structure of the group of units of the ring of integers; Finiteness of the group of equivalence classes of ideals of the ring of integers...
(8596 views)