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  Facetoface 
Work placements  This is not an internship 
Recommended optional programme components  None 
Course availability  The course is available to visiting students 
Lecturer(s) 


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 

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 (1IVT)  Mathematics courses  3  Winter 
Mathematical Institute in Opava  Mathematics (2014IVT)  Mathematics courses  3  Winter 
Mathematical Institute in Opava  Mathematics (1IVT)  Mathematics courses  3  Winter 
Mathematical Institute in Opava  Mathematics (2014F)  Mathematics courses  3  Winter 
Mathematical Institute in Opava  Mathematics (2F)  Mathematics courses  3  Winter 