Content
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

Target Group
Students with the prerequisites mentioned below.

Prerequisites

• Linear Algebra I+II
• Algebra and Number Theory

Literature

• 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