#
FI:MA009 Algebra II - Course Information

## MA009 Algebra II

**Faculty of Informatics**

Spring 2012

**Extent and Intensity**- 2/0. 2 credit(s) (plus extra credits for completion). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
**Teacher(s)**- doc. RNDr. Libor Polák, CSc. (lecturer)

Mgr. David Kruml, Ph.D. (seminar tutor) **Guaranteed by**- doc. RNDr. Libor Polák, CSc.

Faculty of Informatics

Supplier department: Faculty of Science **Timetable**- Fri 14:00–15:50 B410
**Prerequisites**- (
**MB008**Algebra I || PROGRAM ( N - IN )|| PROGRAM ( N - AP )|| PROGRAM ( N - SS ))

Prerequisites:`MB008`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**- there are 19 fields of study the course is directly associated with, display
**Course objectives**- This course is a continuation of Algebra I. We focus on fields, lattice theory and universal algebra with applications in computer science.
**Syllabus**- Rings and polynomials II (extensions, finite fields, symmetric polynomials).
- Lattices (semilattices and lattices - two approaches, modular and distributive lattices, Boolean lattices).
- Universal algebra (subalgebras, homomorphisms, congruences and quotient algebras, products, terms, varieties, free algebras, Birkhoff's theorem, rewriting).

**Literature****Teaching methods**- Once a week a standard lecture with a stress on motivation and examples.
**Assessment methods**- A written exam has three parts: a completion of a text concerning (on advance) given theoretical issues, a completing a proof a new statement, and 3 tests problems where the students show the understanding the basics.
**Language of instruction**- Czech
**Further Comments**- Study Materials

The course is taught annually. **Teacher's information**- http://www.math.muni.cz/~polak/algebra-II.html

- Enrolment Statistics (Spring 2012, recent)
- Permalink: https://is.muni.cz/course/fi/spring2012/MA009