FI:MA009 Algebra II - Course Information

MA009 Algebra II

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)
doc. Mgr. Ondřej Klíma, Ph.D. (seminar tutor)

Guaranteed by

doc. RNDr. Libor Polák, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science

Timetable

Tue 14:00–15:50 B011

Prerequisites

( M008 Algebra I || MB008 Algebra I ||PROGRAM(N-IN)||PROGRAM(N-AP)||PROGRAM(N-SS))&&! M009 Algebra II
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

• Applied Informatics (programme FI, N-AP)
• Informatics (programme FI, M-IN)
• Informatics (programme FI, N-IN)
• Upper Secondary School Teacher Training in Informatics (programme FI, M-SS)
• Upper Secondary School Teacher Training in Informatics (programme FI, M-TV)
• Upper Secondary School Teacher Training in Informatics (programme FI, N-SS)

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 factoralgebras, products, terms, varieties, free algebras, Birkhoff's theorem).

Literature

• PROCHÁZKA, Ladislav. Algebra. 1. vyd. Praha: Academia, 1990, 560 s. info
• BICAN, Ladislav and Jiří ROSICKÝ. Teorie svazů a univerzální algebra. Vyd. 1. Praha: Ministerstvo školství, mládeže a tělovýchovy ČSR, 1989, 84 s. info

Assessment methods (in Czech)

Zkouška je písemná.

Language of instruction

Czech

Further Comments

The course is taught annually.

Teacher's information

http://www.math.muni.cz/~polak/algebra-II.html

• Enrolment Statistics (Spring 2006, recent)
  
• Permalink: https://is.muni.cz/course/fi/spring2006/MA009