PřF:M3150 Algebra II - Course Information
M3150 Algebra II
Faculty of ScienceAutumn 2004
- Extent and Intensity
- 2/2/0. 4 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
- Teacher(s)
- prof. RNDr. Radan Kučera, DSc. (lecturer)
doc. Mgr. Michal Kunc, Ph.D. (seminar tutor) - Guaranteed by
- doc. RNDr. Libor Polák, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: doc. RNDr. Libor Polák, CSc. - Timetable
- Mon 10:00–11:50 N21
- 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
- The second term of algebra being a continuation of Algebra I. The knowledge about fields is deepened, lattices and basics of universal algebra are studied. Numerous applications in informatics are presented.
- Syllabus
- Rings and polynomials (ideals, factorrings, fields, skewfields, extensions, finite fields, symmetric polynomials). Lattices (semilattices and lattices - two approaches, modular and distributive lattices, Boolean lattices, representation of finite distributive and Boolean lattices). Universal algebra (subalgebras, homomorphisms, congruences and factoralgebras, products, subdirect products and corresponding decomposition, terms, varieties, free algebras, Birkhoff's theorem, word problems, heterogeneous algebras and coalgebras, applications in theoretical informatcs).
- Literature
- ROSICKÝ, Jiří. Algebra. 2. vyd. Brno: Vydavatelství Masarykovy univerzity, 1994, 140 s. ISBN 802100990X. 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
- Assessment methods (in Czech)
- Standardní přednáška se cvičením. Písemná zkouška.
- Language of instruction
- Czech
- Further Comments
- The course is taught annually.
- Listed among pre-requisites of other courses
- Teacher's information
- http://www.math.muni.cz/~polak
- Enrolment Statistics (Autumn 2004, recent)
- Permalink: https://is.muni.cz/course/sci/autumn2004/M3150