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). Alternate Types of Completion: k (colloquium).
Teacher(s)
doc. RNDr. Libor Polák, CSc. (lecturer)
Mgr. David Kruml, Ph.D. (seminar tutor)
Supervisor
doc. RNDr. Libor Polák, CSc.
Faculty of Informatics
Dodavatelské pracoviště: 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 Enrollment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
Fields of study 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
  • BICAN, Ladislav and Jiří ROSICKÝ. Teorie svazů a univerzální algebra. 1. vyd. Praha: Ministerstvo školství, mládeže a tělovýchovy ČSR, 1989. 84 s. info
  • PROCHÁZKA, Ladislav. Algebra. 1. vyd. Praha: Academia, 1990. 560 s. info
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.
Further Comments
Study Materials
The course is taught annually.
Listed among pre-requisites of other courses
Teacher's information
http://www.math.muni.cz/~polak/algebra-II.html
The course is also listed under the following terms Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2013, Spring 2014.
  • Enrollment Statistics (Spring 2012, recent)
  • Permalink: https://is.muni.cz/course/fi/spring2012/MA009

Other references: 

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