Course title:Algebraic Structures
Faculty:Faculty of Education
Department:Department of Mathematics with Didactics
Course code:KMD / E-AG2
Semester:Winter / Summer
Level of study:Mgr.
Format of study:Lecture 1 [Hours/Week], Seminar 1 [Hours/Week]
Name of the lecturer:Ing. Tomáš Barot, Ph.D. (G)
Language:English, German
ISCED F broad:Natural sciences, mathematics and statistics
Annotation:The course deals with concepts and their properties introduced within the course Linear algebra in more details. It extends the concept of grupoids and groups together with their properties. It also defines a concept of a group homomorphism, congruences, factor groups, finite groups, Lagrange's theorem, cyclic groups, rings and theirs properties, a ring homomorphism, congruences, factor rings, Galois fields, ordered rings, a splitting field, the ring of integers, the field of rational numbers.