Universität Wien FIND

Return to Vienna for the summer semester of 2022. We are planning to hold courses mainly on site to enable the personal exchange between you, your teachers and fellow students. We have labelled digital and mixed courses in u:find accordingly.

Due to COVID-19, there might be changes at short notice (e.g. individual classes in a digital format). Obtain information about the current status on u:find and check your e-mails regularly.

Please read the information on https://studieren.univie.ac.at/en/info.

250026 VO Algebraic structures (2012W)

3.00 ECTS (2.00 SWS), SPL 25 - Mathematik

Details

Language: German

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

Monday 01.10. 11:00 - 13:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Monday 08.10. 11:00 - 13:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Monday 15.10. 11:00 - 13:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Monday 22.10. 11:00 - 13:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Monday 29.10. 11:00 - 13:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Monday 05.11. 11:00 - 13:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Monday 12.11. 11:00 - 13:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Monday 19.11. 11:00 - 13:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Monday 26.11. 11:00 - 13:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Monday 03.12. 11:00 - 13:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Monday 10.12. 11:00 - 13:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Monday 17.12. 11:00 - 13:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Monday 07.01. 11:00 - 13:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Monday 14.01. 11:00 - 13:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Monday 21.01. 11:00 - 13:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum
Monday 28.01. 11:00 - 13:00 Hörsaal 2 Eduard Suess, 2A122 1.OG UZA II Geo-Zentrum

Information

Aims, contents and method of the course

This lecture will give an introduction to abstract algebra. We will cover the following objects and their properties pertaining to group theory: normal subgroups and quotient groups, isomorphism theorems, Lagrange's theorem, cyclic groups, products of groups, permutation groups. We will cover the following objects and their properties pertaining to ring theory: characteristic and prime rings, ideals and factor rings, isomorphism theorems, direct sums and direct products, polynomial rings, principal ideal domains, euclidean rings, chinese remainder theorem for rings, integral domains and quotient fields, unique factorization domains, irreducibility criteria. For more information (in German) go to http://www.mat.univie.ac.at/~baxa/ws1213.html

Assessment and permitted materials

Written or oral exam after the end of the semester.

Minimum requirements and assessment criteria

We will give an introduction to the basic ideas and results of abstract algebra.

Examination topics

The material will be presented by the lecturer.

Reading list

T.W. Hungerford, Algebra
J.C. Jantzen, J. Schwermer, Algebra
S. Lang, Algebra

Association in the course directory

EAL

Last modified: Sa 02.04.2022 00:24