Allgemeine Informationen

Veranstaltungsname	Vorlesung: 03-M-SP-7 Commutative Algebra
Untertitel
Veranstaltungsnummer	03-M-SP-7
Semester	SoSe 2025
Aktuelle Anzahl der Teilnehmenden	15
Heimat-Einrichtung	Mathematik
Veranstaltungstyp	Vorlesung in der Kategorie Lehre
Erster Termin	Dienstag, 08.04.2025 10:00 - 12:00, Ort: MZH 7200
Art/Form
Englischsprachige Veranstaltung	Ja
ECTS-Punkte	9

Lehrende

Anastasios Stefanou

Räume und Zeiten

MZH 7200: Dienstag: 10:00 - 12:00, wöchentlich (14x); Donnerstag: 10:00 - 12:00, wöchentlich (12x); Donnerstag: 12:00 - 14:00, wöchentlich (12x)

Modulzuordnungen

Universität Bremen
- Mathematics Master Mathematics (Single Major Subject) without Application Subject, 2. Version gültig ab WiSe 2023/2024
  - Free Choice
    - 03-MAT-GS-FW - General Studies - Freie Wahl (gültig ab WiSe 2022/2023)
      - Veranstaltung(en) aus dem Fachbereich 3 bzw. den fachergänzenden Studien
  - Mathematics - Area of Specialization - Analysis - Compulsory Modules
    - 03-MAT-MA-D-A-ANA - Diversification A (Analysis) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Algebra, Numerical Analysis or Statistics/Stochastics
    - 03-MAT-MA-D-B-ANA - Diversification B (Analysis) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Algebra, Numerical Analysis or Statistics/Stochastics
  - Mathematics - Area of Specialization - Numerical Analysis - Compulsory Modules
    - 03-MAT-MA-D-A-NUM - Diversification A (Numerical Analysis) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Algebra, Analysis or Statistics/Stochastics
    - 03-MAT-MA-D-B-NUM - Diversification B (Numerical Analysis) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Algebra, Analysis or Statistics/Stochastics
  - Mathematics - Area of Specialization - Statistics/Stochastics - Compulsory Modules
    - 03-MAT-MA-D-A-STS - Diversification A (Statistics/Stochastics) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Algebra, Analysis or Numerical Analysis
    - 03-MAT-MA-D-B-STS - Diversification B (Statistics/Stochastics) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Algebra, Analysis or Numerical Analysis
  - Mathematics - Area of Specialization - Analysis - Compulsory Elective Modules
    - 03-MAT-MA-D-C-ANA - Diversification C (Analysis) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Algebra, Numerical Analysis or Statistics/Stochastics
  - Mathematics - Area of Specialization - Numerical Analysis - Compulsory Elective Modules
    - 03-MAT-MA-D-C-NUM - Diversification C (Numerical Analysis) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Algebra, Analysis or Statistics/Stochastics
  - Mathematics - Area of Specialization - Statistics/Stochastics - Compulsory Elective Modules
    - 03-MAT-MA-D-C-STS - Diversification C (Statistics/Stochastics) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Algebra, Analysis or Numerical Analysis
  - Mathematics - Area of Specialization - Algebra - Compulsory Modules
    - 03-MAT-MA-SP-A-ALG - Specialization A (Algebra) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Algebra
    - 03-MAT-MA-SP-B-ALG - Specialization B (Algebra) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Algebra
  - Mathematics - Area of Specialization - Algebra - Compulsory Elective Modules
    - 03-MAT-MA-SP-C-ALG - Specialization C (Algebra) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Algebra
- Mathematik Bachelor Mathematik (Vollfach), 4. Version WiSe 2024/2025 - SoSe 2025
  - General Studies - Freie Wahl
    - 03-MAT-GS-FW - General Studies - Freie Wahl (gültig ab WiSe 2022/2023)
      - Veranstaltung(en) aus dem Fachbereich 3 bzw. den fachergänzenden Studien
- Industriemathematik Bachelor Industriemathematik (Vollfach), 3. Version WiSe 2024/2025 - SoSe 2025
  - General Studies - Freie Wahl
    - 03-MAT-GS-FW - General Studies - Freie Wahl (gültig ab WiSe 2022/2023)
      - Veranstaltung(en) aus dem Fachbereich 3 bzw. den fachergänzenden Studien
- Mathematics Master Mathematics (Single Major Subject) with Application Subject, 4. Version SoSe 2025
  - Mathematics - Area of Specialization - Analysis - Compulsory Modules
    - 03-MAT-MA-D-A-ANA - Diversification A (Analysis) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Algebra, Numerical Analysis or Statistics/Stochastics
    - 03-MAT-MA-D-B-ANA - Diversification B (Analysis) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Algebra, Numerical Analysis or Statistics/Stochastics
  - Mathematics - Area of Specialization - Numerical Analysis - Compulsory Modules
    - 03-MAT-MA-D-A-NUM - Diversification A (Numerical Analysis) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Algebra, Analysis or Statistics/Stochastics
    - 03-MAT-MA-D-B-NUM - Diversification B (Numerical Analysis) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Algebra, Analysis or Statistics/Stochastics
  - Mathematics - Area of Specialization - Statistics/Stochastics - Compulsory Modules
    - 03-MAT-MA-D-A-STS - Diversification A (Statistics/Stochastics) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Algebra, Analysis or Numerical Analysis
    - 03-MAT-MA-D-B-STS - Diversification B (Statistics/Stochastics) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Algebra, Analysis or Numerical Analysis
  - Mathematics - Area of Specialization - Analysis - Compulsory Elective Modules
    - 03-MAT-MA-D-C-ANA - Diversification C (Analysis) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Algebra, Numerical Analysis or Statistics/Stochastics
  - Mathematics - Area of Specialization - Numerical Analysis - Compulsory Elective Modules
    - 03-MAT-MA-D-C-NUM - Diversification C (Numerical Analysis) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Algebra, Analysis or Statistics/Stochastics
  - Mathematics - Area of Specialization - Statistics/Stochastics - Compulsory Elective Modules
    - 03-MAT-MA-D-C-STS - Diversification C (Statistics/Stochastics) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Algebra, Analysis or Numerical Analysis
  - Mathematics - Area of Specialization - Algebra - Compulsory Modules
    - 03-MAT-MA-SP-A-ALG - Specialization A (Algebra) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Algebra
    - 03-MAT-MA-SP-B-ALG - Specialization B (Algebra) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Algebra
  - Mathematics - Area of Specialization - Algebra - Compulsory Elective Modules
    - 03-MAT-MA-SP-C-ALG - Specialization C (Algebra) (gültig ab WiSe 2023/2024)
      - Lecture and Exercise from the Area of Algebra
- Prozessorientierte Materialforschung Masterstudiengang Prozessorientierte Materialforschung, 3. Version WiSe 2024/2025 - SoSe 2025
  - Basismodule
    - 04-PT-MA-PM-B1 - Mathematik (gültig WiSe 2018/2019 bis SoSe 2025)
      - Mathematik

Kommentar/Beschreibung

Commutative algebra is a branch of algebra which studies commutative rings, ideals and modules. We will discuss the theory of ideals of a polynomial ring, graded and multigraded modules, Gröbner bases, presentations and resolutions of modules. Topics are: Polynomial rings, ideals and varieties Gröbner bases and Buchberger’s algorithm Hilbert’s Nullstellensatz Multigraded modules and Betti numbers Rank invariants Presentations and resolutions Hilbert’s syzygy theorem Schreyer’s theorem

Anmeldemodus

Die Auswahl der Teilnehmenden wird nach der Eintragung manuell vorgenommen.

Nutzer/-innen, die sich für diese Veranstaltung eintragen möchten, erhalten nähere Hinweise und können sich dann noch gegen eine Teilnahme entscheiden.

Vorlesung: 03-M-SP-7 Commutative Algebra - Details