FI:M009 Algebra II - Course Information

M009 Algebra II

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

M005 Set Theory I && M008 Algebra I
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

Further Comments

The course is taught annually.
The course is taught: every week.

Teacher's information

http://www.math.muni.cz/~polak

• Enrolment Statistics (Spring 1999, recent)
  
• Permalink: https://is.muni.cz/course/fi/spring1999/M009