Course: Algebraical Structures

» List of faculties » MU » MU
Course title Algebraical Structures
Course code MU/02021
Organizational form of instruction Lecture + Lesson
Level of course Bachelor
Year of study not specified
Semester Winter
Number of ECTS credits 6
Language of instruction Czech
Status of course Compulsory
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Course availability The course is available to visiting students
Lecturer(s)
  • KOČAN Zdeněk, doc. RNDr. Ph.D.
Course content
1. Algebraical structures and substructures, generators, homomorphisms, isomorphisms, congruences, factor algebras, products. 2. Semigroups, monoids, groups, Lagrange theorem, normal subgroups, group actions, orbit and stabilizer, Burnside's theorem. 3. Rings, fields, ideals. 4. Modules and vector spaces, sums, free modules, tensor product. 5. Lattices.

Learning activities and teaching methods
unspecified
Recommended literature
  • L. Bican, J. Rosický. Teorie svazů a univerzální algebra. Praha, 1989.
  • S. MacLane, G. Birkhoff. Algebra. Bratislava, 1974.
  • W. J. Gilbert. Modern Algebra with Applications. Wiley, New York, 1976.


Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester
Mathematical Institute in Opava Mathematical Analysis (1-IVT) Mathematics courses 3 Winter
Mathematical Institute in Opava Mathematics (2014-IVT) Mathematics courses 3 Winter
Mathematical Institute in Opava Mathematics (1-IVT) Mathematics courses 3 Winter
Mathematical Institute in Opava Mathematics (2014-F) Mathematics courses 3 Winter
Mathematical Institute in Opava Mathematics (2-F) Mathematics courses 3 Winter