Basic Module: Algebra I
Alexandru Constantinescu
Comments
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: Professor Alexander Schmitt
50 Class schedule
Additional appointments
Mon, 2025-02-17 12:00 - 14:00 Wed, 2025-02-19 10:00 - 12:00Regular appointments
Location:
0.1.01 Hörsaal B (Arnimallee 14)
Location:
0.1.01 Hörsaal B (Arnimallee 14)
Location:
0.1.01 Hörsaal B (Arnimallee 14)
Location:
0.1.01 Hörsaal B (Arnimallee 14)
Location:
0.1.01 Hörsaal B (Arnimallee 14)
Location:
0.1.01 Hörsaal B (Arnimallee 14)
Location:
0.1.01 Hörsaal B (Arnimallee 14)
Location:
0.1.01 Hörsaal B (Arnimallee 14)
Location:
0.1.01 Hörsaal B (Arnimallee 14)
Location:
0.1.01 Hörsaal B (Arnimallee 14)
Location:
0.1.01 Hörsaal B (Arnimallee 14)
Location:
0.1.01 Hörsaal B (Arnimallee 14)
Location:
0.1.01 Hörsaal B (Arnimallee 14)
Location:
0.1.01 Hörsaal B (Arnimallee 14)
Location:
0.1.01 Hörsaal B (Arnimallee 14)