Covers topics such as valuation theory; theory of polynomial and power series rings; and local algebra. This volume includes the algebro-geometric connections and applications of the purely algebraic material.

Commutative Algebra II

Science & Math

PIERRE SAMUEL

Oscar Zariski

Mathematics

Springer

Algebraic number theory introduces students not only to new algebraic notions but also to related concepts: groups, rings, fields, ideals, quotient rings and quotient fields, homomorphisms and isomorphisms, modules, and vector spaces. Author Pierre Samuel notes that students benefit from their studies of algebraic number theory by encountering many concepts fundamental to other branches of mathematics — algebraic geometry, in particular. This book assumes a knowledge of basic algebra but supplements its teachings with brief, clear explanations of integrality, algebraic extensions of fields, Galois theory, Noetherian rings and modules, and rings of fractions. It covers the basics, starting with the divisibility theory in principal ideal domains and ending with the unit theorem, finiteness of the class number, and the more elementary theorems of Hilbert ramification theory. Numerous examples, applications, and exercises appear throughout the text.

Algebraic Theory of Numbers: Translated from the French by Allan J. Silberger (Dover Books on Mathematics)

Dover Publications

Algebraic Theory of Numbers

Kershaw Pub.Co.

construction d'une haiti nouvelle vision et contribution du grahn groupe de reflexion et d'action po - by Samuel Pierre

construction d'une haiti nouvelle vision et contribution du grahn groupe de reflexion et d'action po

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Books by PIERRE SAMUEL