Oscar Zariski: Commutative Algebra Volume 1

Cover: 9780486836614 | Commutative Algebra Volume 1 | Volume I | Oscar Zariski | Taschenbuch

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Sprache: Englisch

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Beschreibung

A precise, fundamental study of commutative algebra, this largely self-contained treatment is the first in a two-volume set. Intended for advanced undergraduates and graduate students in mathematics, its prerequisites are the rudiments of set theory and linear algebra, including matrices and determinants.
The opening chapter develops introductory notions concerning groups, rings, fields, polynomial rings, and vector spaces. Subsequent chapters feature an exposition of field theory and classical material concerning ideals and modules in arbitrary commutative rings, including detailed studies of direct sum decompositions. The final two chapters explore Noetherian rings and Dedekind domains. This work prepares readers for the more advanced topics of Volume II, which include valuation theory, polynomial and power series rings, and local algebra.

Über den Autor

Oscar Zariski (1899-1986) was born in Russia, studied at the Universities of Kiev and Rome, and emigrated to the United States in 1927. He taught at Johns Hopkins, where he became a Professor in 1937. He joined the mathematical faculty at Harvard University in 1947 and taught there until his retirement in 1969. His Collected Papers were published by MIT Press in four volumes.
Pierre Samuel received his PhD from Princeton University in 1947, and another Doctorate degree from the University of Paris in 1949. He taught at the University of Clermont-Ferrand, and later at the University of Paris-Sud. Dover also publishes his Algebraic Theory of Numbers.

Details

Erscheinungsjahr:	2019
Fachbereich:	Arithmetik & Algebra
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	Kartoniert / Broschiert
ISBN-13:	9780486836614
ISBN-10:	0486836614
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Zariski, Oscar Samuel, Pierre
Hersteller:	Dover Publications Inc.
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	228 x 149 x 20 mm
Von/Mit:	Oscar Zariski (u. a.)
Erscheinungsdatum:	31.12.2019
Gewicht:	0,474 kg