Lecturer(s)


Tesková Libuše, RNDr. CSc.

Teska Jakub, RNDr. Mgr. Ph.D.

Tomiczková Světlana, RNDr. Ph.D.

Course content

Week 14: Groupoids, monoids, semigroups. Week 57: Groups, Abelian Groups, subgroups, Lagrange´s Theorem, normal subgroups, quotient groups. Week 89: Homomorphisms of groups, theorem about isomorphism of groups, cyclic groups and their structure. Week 1011: Rings and fields, subrings, ideals, quotient rings, zero divisors, basic properties of fields. Week 1213: Associative, commutative rings with an identity.

Learning activities and teaching methods

Lecture supplemented with a discussion, Lecture with practical applications, Discussion
 Undergraduate study programme term essay (2040)
 30 hours per semester
 Contact hours
 39 hours per semester
 Preparation for an examination (3060)
 45 hours per semester

prerequisite 

professional knowledge 

No particular prerequisites specified. 
learning outcomes 

The student will be able to: actively understand concept of equivalence and of decomposition of a set into equivalence classes, solve simple problems in modular arithmetics, apply Theory of semigroups terms,apply Theory of groups terms, apply basic properties of groups to particular models, recognise the structure of a ring and a field. 
teaching methods 

Lecture supplemented with a discussion 
Lecture with practical applications 
Discussion 
assessment methods 

Combined exam 
Seminar work 
Recommended literature


Beran, Ladislav. Grupy a svazy. Vyd. 1. Praha : SNTL, 1974.

Procházka a kol. Algebra. Academia Praha.
