Universität Wien

250054 VO Commutative Algebra (2012S)

7.00 ECTS (4.00 SWS), SPL 25 - Mathematik

Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

Wednesday 07.03. 14:00 - 16:00 Seminarraum
Thursday 08.03. 14:00 - 16:00 Seminarraum
Wednesday 14.03. 14:00 - 16:00 Seminarraum
Thursday 15.03. 14:00 - 16:00 Seminarraum
Wednesday 21.03. 14:00 - 16:00 Seminarraum
Thursday 22.03. 14:00 - 16:00 Seminarraum
Wednesday 28.03. 14:00 - 16:00 Seminarraum
Thursday 29.03. 14:00 - 16:00 Seminarraum
Wednesday 18.04. 14:00 - 16:00 Seminarraum
Thursday 19.04. 14:00 - 16:00 Seminarraum
Wednesday 25.04. 14:00 - 16:00 Seminarraum
Thursday 26.04. 14:00 - 16:00 Seminarraum
Wednesday 02.05. 14:00 - 16:00 Seminarraum
Thursday 03.05. 14:00 - 16:00 Seminarraum
Wednesday 09.05. 14:00 - 16:00 Seminarraum
Thursday 10.05. 14:00 - 16:00 Seminarraum
Wednesday 16.05. 14:00 - 16:00 Seminarraum
Wednesday 23.05. 14:00 - 16:00 Seminarraum
Thursday 24.05. 14:00 - 16:00 Seminarraum
Wednesday 30.05. 14:00 - 16:00 Seminarraum
Thursday 31.05. 14:00 - 16:00 Seminarraum
Wednesday 06.06. 14:00 - 16:00 Seminarraum
Wednesday 13.06. 14:00 - 16:00 Seminarraum
Thursday 14.06. 14:00 - 16:00 Seminarraum
Wednesday 20.06. 14:00 - 16:00 Seminarraum
Thursday 21.06. 14:00 - 16:00 Seminarraum
Wednesday 27.06. 14:00 - 16:00 Seminarraum
Thursday 28.06. 14:00 - 16:00 Seminarraum

Information

Aims, contents and method of the course

Commutative algebra studies commutative rings, their ideals and modules
over such rings. It is among other things a fundamental basis for algebraic
geometry, invariant theory and algebraic number theory. Indeed, two concrete
classes of commutative rings related to these fields marked the beginning of
commutative algebra: rings of integers of algebraic number fields, and polynomial
rings. We want to study also Gröbner bases, module theory, Noetherian rings
and dimension theory, localization, integral extensions, Dedekind rings and
discrete valuation rings.

Assessment and permitted materials

Written exam or oral exam after the end of the lecture.

Minimum requirements and assessment criteria

Examination topics

Reading list

[AM] M.F. Atiyah, I.G. Macdonald, Introduction to commutative Algebra, 1969.
[BOU] N. Bourbaki, Commutative Algebra, 1989.
[EIS] D. Eisenbud, Commutative Algebra, 1995.
[GRP] G.-M. Greuel, G. Pfister, A Singular Introduction to Commutative Algebra, 2002.
[KEM] G. Kemper, A course in commutative algebra, 2011.
[MAT] H. Matsumura: Commutative Ring Theory, 1986.
[SAZ] P. Samuel, O. Zariski: Commutative Algebra, 1975.
[SHA] R. Y. Sharp: Steps in commutative algebra, 2000.

Association in the course directory

MALV

Last modified: Mo 07.09.2020 15:40