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877992 VO Commutative Algebra (2004W)

Commutative Algebra

0.00 ECTS (4.00 SWS), UG02 SPL 25 - Mathematik

Details

Language: German

Lecturers

Joachim Schwermer

Classes (iCal) - next class is marked with N

Thursday 07.10. 09:00 - 09:45 Seminarraum
Thursday 07.10. 09:55 - 10:40 Seminarraum
Friday 08.10. 09:00 - 09:45 Seminarraum
Friday 08.10. 09:55 - 10:40 Seminarraum
Thursday 14.10. 09:00 - 09:45 Seminarraum
Thursday 14.10. 09:55 - 10:40 Seminarraum
Friday 15.10. 09:00 - 09:45 Seminarraum
Friday 15.10. 09:55 - 10:40 Seminarraum
Thursday 21.10. 09:00 - 09:45 Seminarraum
Thursday 21.10. 09:55 - 10:40 Seminarraum
Friday 22.10. 09:00 - 09:45 Seminarraum
Friday 22.10. 09:55 - 10:40 Seminarraum
Thursday 28.10. 09:00 - 09:45 Seminarraum
Thursday 28.10. 09:55 - 10:40 Seminarraum
Friday 29.10. 09:00 - 09:45 Seminarraum
Friday 29.10. 09:55 - 10:40 Seminarraum
Thursday 04.11. 09:00 - 09:45 Seminarraum
Thursday 04.11. 09:55 - 10:40 Seminarraum
Friday 05.11. 09:00 - 09:45 Seminarraum
Friday 05.11. 09:55 - 10:40 Seminarraum
Thursday 11.11. 09:00 - 09:45 Seminarraum
Thursday 11.11. 09:55 - 10:40 Seminarraum
Friday 12.11. 09:00 - 09:45 Seminarraum
Friday 12.11. 09:55 - 10:40 Seminarraum
Thursday 18.11. 09:00 - 09:45 Seminarraum
Thursday 18.11. 09:55 - 10:40 Seminarraum
Friday 19.11. 09:00 - 09:45 Seminarraum
Friday 19.11. 09:55 - 10:40 Seminarraum
Thursday 25.11. 09:00 - 09:45 Seminarraum
Thursday 25.11. 09:55 - 10:40 Seminarraum
Friday 26.11. 09:00 - 09:45 Seminarraum
Friday 26.11. 09:55 - 10:40 Seminarraum
Thursday 02.12. 09:00 - 09:45 Seminarraum
Thursday 02.12. 09:55 - 10:40 Seminarraum
Friday 03.12. 09:00 - 09:45 Seminarraum
Friday 03.12. 09:55 - 10:40 Seminarraum
Thursday 09.12. 09:00 - 09:45 Seminarraum
Thursday 09.12. 09:55 - 10:40 Seminarraum
Friday 10.12. 09:00 - 09:45 Seminarraum
Friday 10.12. 09:55 - 10:40 Seminarraum
Thursday 16.12. 09:00 - 09:45 Seminarraum
Thursday 16.12. 09:55 - 10:40 Seminarraum
Friday 17.12. 09:00 - 09:45 Seminarraum
Friday 17.12. 09:55 - 10:40 Seminarraum
Thursday 13.01. 09:00 - 09:45 Seminarraum
Thursday 13.01. 09:55 - 10:40 Seminarraum
Friday 14.01. 09:00 - 09:45 Seminarraum
Friday 14.01. 09:55 - 10:40 Seminarraum
Thursday 20.01. 09:00 - 09:45 Seminarraum
Thursday 20.01. 09:55 - 10:40 Seminarraum
Friday 21.01. 09:00 - 09:45 Seminarraum
Friday 21.01. 09:55 - 10:40 Seminarraum
Thursday 27.01. 09:00 - 09:45 Seminarraum
Thursday 27.01. 09:55 - 10:40 Seminarraum
Friday 28.01. 09:00 - 09:45 Seminarraum
Friday 28.01. 09:55 - 10:40 Seminarraum

Information

Aims, contents and method of the course

Commutative algebra has emerged from algebraic number theory and algebraic geometry as well. The basic object in the former one is the ring of rational integers or, more generally, the ring of integers in an algebraic number field. The ring of polynomials in several variables over a field k is the prototype of commutative rings studied in algebraic geometry. The central notion in commuatative algebra is that of a prime ideal. It provides a
common generalization of the prime numbers in arithmetic and the points of affine algebraic varieties. The geometric notion of concentrating attention "near a point" has as its algebraic analogue in the process of localizing a
ring at a prime ideal. Thus, the concept of localization has a considerable impact on geometric questions. Contents:rings and ideals, modules, rings of fractions, primary decomposition, integral dependence, Noetherian and Artinian rings, Dedekind
domains. A substantial number of examples and applications to different fields in
mathematics and physics will be given.

Assessment and permitted materials

Minimum requirements and assessment criteria

Examination topics

Reading list

Association in the course directory

Currently no association information is available.

Last modified: Mo 07.09.2020 15:50