Universität Wien
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250015 VO Algebraic structures (2011W)

3.00 ECTS (2.00 SWS), SPL 25 - Mathematik

Details

Language: German

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

  • Tuesday 04.10. 09:20 - 10:50 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
  • Tuesday 11.10. 09:20 - 10:50 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
  • Tuesday 18.10. 09:20 - 10:50 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
  • Tuesday 25.10. 09:20 - 10:50 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
  • Tuesday 08.11. 09:20 - 10:50 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
  • Tuesday 15.11. 09:20 - 10:50 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
  • Tuesday 22.11. 09:20 - 10:50 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
  • Tuesday 29.11. 09:20 - 10:50 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
  • Tuesday 06.12. 09:20 - 10:50 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
  • Tuesday 13.12. 09:20 - 10:50 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
  • Tuesday 10.01. 09:20 - 10:50 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
  • Tuesday 17.01. 09:20 - 10:50 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
  • Tuesday 24.01. 09:20 - 10:50 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
  • Tuesday 31.01. 09:20 - 10:50 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum

Information

Aims, contents and method of the course

Groups: normal divisors and quotients, homomorphy and isomorphy theorems, theorem of Lagrange, cyclic groups, products, permutation groups, examples;
Rings: characteristics and prime rings, ideals and factor rings, homomorphy theorem, direct sums and products, polynomial rings, principal ideal domains, Euclidean algorithm, Chinese remainder theorem for commutative rings, integral domains and quotient fields, factorial rings, irreducibilty criterion, examples.

Assessment and permitted materials

written exam after the end of the course

Minimum requirements and assessment criteria

Acquirement and comprehension of important basic notions of algebra

Examination topics

lecture course

Reading list

Gerd Fischer, "Lehrbuch der Algebra: Mit lebendigen Beispielen, ausführlichen Erläuterungen und zahlreichen Bildern", 2. überarb. Aufl., Vieweg+Teubner, Wiesbaden, 2011; ISBN-13 9783834812490.

Association in the course directory

EAL

Last modified: Th 31.10.2024 00:15