FI:MA009 Algebra II - Course Information

MA009 Algebra II

Faculty of Informatics
Spring 2006

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)

Guaranteed by

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

there are 6 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 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