MU:MU02021 Algebraical Structures - Course Information
MU02021 Algebraical Structures
Mathematical Institute in OpavaSummer 2010
- Extent and Intensity
- 2/2/0. 6 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- doc. RNDr. Zdeněk Kočan, Ph.D. (lecturer)
doc. RNDr. Zdeněk Kočan, Ph.D. (seminar tutor) - Guaranteed by
- doc. RNDr. Zdeněk Kočan, Ph.D.
Mathematical Institute in Opava - Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Geometry (programme MU, M1101)
- Mathematical Analysis (programme MU, M1101)
- Mathematics (programme MU, B1101)
- Secondary School Teacher Traning in Physics and Mathematics (programme FPF, M1701 Fyz)
- Secondary School Teacher Training in Mathematics (programme FPF, M7504)
- Secondary school teacher training in general subjects with specialization in Mathematics (programme FPF, M7504)
- Course objectives (in Czech)
- V rámci této přednášky si posluchač prohloubí znalosti lineární algebry a získá přehled o konstrukcích, typických vlastnostech a také vzájemných odlišnostech nejpoužívanějších algebraických struktur.
- Syllabus (in Czech)
- 1) Algebraické struktury a podstruktury, generátory, homomorfismy, isomorfismy, kongruence, faktorové algebry, součiny.
2) Pologrupy, monoidy, grupy, Lagrangeova věta, normální podgrupy, akce grup, orbita a stabilizátor, Burnsideova věta.
3) Okruhy, pole, ideály.
4) Moduly a vektorové prostory, sumy, volné moduly, tenzorový součin.
5) Svazy.
- 1) Algebraické struktury a podstruktury, generátory, homomorfismy, isomorfismy, kongruence, faktorové algebry, součiny.
- Literature
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- The course can also be completed outside the examination period.
- Enrolment Statistics (Summer 2010, recent)
- Permalink: https://is.slu.cz/course/sumu/summer2010/MU02021