PřF:M3150 Algebra II - Course Information
M3150 Algebra II
Faculty of ScienceAutumn 2012
- Extent and Intensity
- 2/2/0. 4 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: zk (examination).
- Teacher(s)
- prof. RNDr. Radan Kučera, DSc. (lecturer)
- Guaranteed by
- prof. RNDr. Radan Kučera, DSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science - Timetable
- Thu 8:00–9:50 M2,01021
- Timetable of Seminar Groups:
- Prerequisites (in Czech)
- M2150 Algebra I
Zvládnutí základů matematiky a kurzu Algebra I. - 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
- Mathematics (programme PřF, M-MA)
- Mathematics (programme PřF, N-MA)
- Course objectives
- At the end of this course, students should be able to:
* understand rudiments of group theory, ring theory and lattice theory;
* understand rudiments of universal algebra;
* explain basic notions and relations among them. - Syllabus
- Rings and polynomials (ideals, factorrings, fields, skewfields, extensions, finite fields, symmetric polynomials).
- Lattices (semilattices and lattices - two approaches, modular and distributive lattices, Boolean algebras, representation of finite distributive lattices and Boolean algebras).
- Universal algebra (subalgebras, homomorphisms, congruences and factoralgebras, products, terms, varieties, free algebras, Birkhoff's theorem).
- Literature
- ROSICKÝ, Jiří. Algebra. 4., přeprac. vyd. Brno: Masarykova univerzita, 2002, 133 s. ISBN 80-210-2964-1. info
- BICAN, Ladislav and Jiří ROSICKÝ. Teorie svazů a univerzální algebra. Vyd. 1. Praha: Ministerstvo školství, mládeže a tělovýchovy ČSR, 1989, 84 s. info
- PROCHÁZKA, Ladislav. Algebra. 1. vyd. Praha: Academia, 1990, 560 s. info
- Teaching methods
- Lectures: theoretical explanation. Exercises: solving problems with the aim to understand basic concepts and theorems, homeworks.
- Assessment methods
- Examination consists of two parts: written test and oral examination.
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- Study Materials
The course is taught annually. - Listed among pre-requisites of other courses
- Teacher's information
- http://www.math.muni.cz/~kucera
- Enrolment Statistics (Autumn 2012, recent)
- Permalink: https://is.muni.cz/course/sci/autumn2012/M3150