FI:M009 Algebra II - Course Information
M009 Algebra II
Faculty of InformaticsSpring 1998
- Extent and Intensity
- 2/0. 2 credit(s). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium), z (credit).
- Teacher(s)
- doc. RNDr. Libor Polák, CSc. (lecturer)
- Guaranteed by
- Contact Person: doc. RNDr. Libor Polák, CSc.
- Prerequisites
- Prerequisites M005 Foundations of mathematics and M008 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
- Informatics (programme FI, B-IN)
- Informatics (programme FI, M-IN)
- Upper Secondary School Teacher Training in Informatics (programme FI, M-IN)
- Upper Secondary School Teacher Training in Informatics (programme FI, M-SS)
- Information Technology (programme FI, B-IN)
- 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 computer science).
- Language of instruction
- Czech
- Teacher's information
- http://www.math.muni.cz/~polak
- Enrolment Statistics (Spring 1998, recent)
- Permalink: https://is.muni.cz/course/fi/spring1998/M009