19202501
Lecture
WiSe 23/24: Basic Module: Algebra I
Alexander Schmitt
Additional information / Pre-requisites
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
Suggested reading
Literature
- Atiyah, M.F.; Macdonald, I.G.: Einführung in die kommutative Algebra. Addison-Wesley Publishing Co., Reading, Mass-London-Don Mills, Ont. 1969 ix+128 Seiten (This book is the best introduction to the subject with brief and clear descriptions.)
- Further literature will be announced in the course.
15 Class schedule
Additional appointments
Fri, 2024-04-12 10:00 - 12:00Basismodul: Algebra I Nachklausur
Regular appointments
Mon, 2023-10-23 12:00 - 16:00
Basismodul: Algebra I
Mon, 2023-10-30 12:00 - 16:00
Basismodul: Algebra I
Mon, 2023-11-06 12:00 - 16:00
Basismodul: Algebra I
Mon, 2023-11-13 12:00 - 16:00
Basismodul: Algebra I
Mon, 2023-11-20 12:00 - 16:00
Basismodul: Algebra I
Mon, 2023-11-27 12:00 - 16:00
Basismodul: Algebra I
Mon, 2023-12-04 12:00 - 16:00
Basismodul: Algebra I
Mon, 2023-12-11 12:00 - 16:00
Basismodul: Algebra I
Mon, 2023-12-18 12:00 - 16:00
Basismodul: Algebra I
Mon, 2024-01-08 12:00 - 16:00
Basismodul: Algebra I
Mon, 2024-01-15 12:00 - 16:00
Basismodul: Algebra I
Mon, 2024-01-22 12:00 - 16:00
Basismodul: Algebra I
Mon, 2024-01-29 12:00 - 16:00
Basismodul: Algebra I
Mon, 2024-02-05 12:00 - 16:00
Basismodul: Algebra I
Mon, 2024-02-12 12:00 - 16:00
Basismodul: Algebra I