MB008 Algebra I

Faculty of Informatics
Autumn 2002
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. Mgr. Ondřej Klíma, Ph.D. (lecturer)
doc. RNDr. Libor Polák, CSc. (lecturer)
Guaranteed by
prof. RNDr. Radan Kučera, DSc.
Faculty of Informatics
Contact Person: prof. RNDr. Radan Kučera, DSc.
Timetable
Tue 14:00–15:50 U4-501, Tue 14:00–15:50 D1
Prerequisites
! M008 Algebra I &&! M508 Algebra I &&( M005 Foundations of mathematics || MB005 Foundations of mathematics )&&( M003 Linear Algebra and Geometry I || M503 Linear Algebra and Geometry I )
Prerequisites: M005 Foundations of mathematics and M003 Linear Algebra and Geometry 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
Course objectives (in Czech)
V kurzu jsou zavedeny základní algebraické kategorie, jako grupa, okruh, těleso a jsou studovány jejich vlastnosti.
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 obdobi
Language of instruction
Czech
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 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2012.
  • Enrolment Statistics (Autumn 2002, recent)
  • Permalink: https://is.muni.cz/course/fi/autumn2002/MB008