MB008 Algebra I

Faculty of Informatics
Autumn 2003
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), z (credit).
Teacher(s)
doc. RNDr. Libor Polák, CSc. (lecturer)
Guaranteed by
prof. RNDr. Radan Kučera, DSc.
Faculty of Informatics
Contact Person: prof. RNDr. Radan Kučera, DSc.
Timetable
Fri 14:00–15:50 VC311
Prerequisites
! M008 Algebra I &&! M508 Algebra I &&( M005 Foundations of mathematics || MB005 Foundations of mathematics || MB101 Foundations of mathematics I )
Prerequisites: M005 Foundations of mathematics.
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
Course objectives
We introduce here the basic algebraic structures: monoids, groups, rings, fields and we study their properties. We pay attention to calculations with polynomials.
Syllabus
  • Groups (permutation groups, Cayley's theorems, subgroups and normal subgroups, factorgroups, homomorphisms, products, classification of cyclic groups).
  • Polynomials over C, R, Q (multiplicity of zeros and the derivative, irreducible polynomials, Euklid's algorithm).
  • Rings (ideals, factor rings, fields, skewfields).
Literature
  • ROSICKÝ, J. Algebra, grupy a okruhy. 3rd ed. Brno: Masarykova univerzita, 2000, 140 pp. ISBN 80-210-2303-1. info
  • PROCHÁZKA, Ladislav. Algebra. 1. vyd. Praha: Academia, 1990, 560 s. info
Assessment methods (in Czech)
Standardni prednaska s pisemnou zkouskou ve zkouskovem období.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
The course is taught annually.
Teacher's information
http://www.math.muni.cz/~polak/algebra-I.html
The course is also listed under the following terms Autumn 2002, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2012.
  • Enrolment Statistics (Autumn 2003, recent)
  • Permalink: https://is.muni.cz/course/fi/autumn2003/MB008