Studies

192
Compulsory

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Inhalt
This is the first part of a three semester course on algebraic geometry. Commutative algebra is the theory of commutative rings and their modules. It formally includes affine algebraic and local analytic geometry. Topics include: ● Affine algebraic varieties ● Rings, ideals, and modules ● Noetherian rings ● Local rings and localization ● Primary decompositione ● Finite and integral extensions ● Dimension theory ● Regular rings
Zielgruppe
Students with the prerequisites mentioned below.
Voraussetzungen
● Linear Algebra I+II ● Algebra and Number Theory

Literatur
● Atiyah, M.F.; Macdonald, I.G.: Introduction to commutative algebra. Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont. 1969 ix+128 pp. (This book is probably the best entry to the subject. It is short, concise, and clearly written.)
● Further literature will be announced in class.
Homepage: Prof. Altmann
Inhalt
This is the first part of a three semester course on algebraic geometry. Commutative algebra is the theory of commutative rings and their modules. It formally includes affine algebraic and local analytic geometry. Topics include: ● Affine algebraic varieties ● Rings, ideals, and modules ● Noetherian rings ● Local rings and localization ● Primary decompositione ● Finite and integral extensions ● Dimension theory ● Regular rings
Zielgruppe
Students with the prerequisites mentioned below.
Voraussetzungen
● Linear Algebra I+II ● Algebra and Number Theory

Literatur
● Atiyah, M.F.; Macdonald, I.G.: Introduction to commutative algebra. Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont. 1969 ix+128 pp. (This book is probably the best entry to the subject. It is short, concise, and clearly written.)
● Further literature will be announced in class.
Homepage: Prof. Altmann

Cross-language

192 025
Compulsory

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AncillaryCourses

Übung zu Algebra I (Kommutative Algebra)

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