| Course title | Lattice Theory and Universal Algebra |
|---|---|
| Course code | KAG/TSUA |
| Organizational form of instruction | Lecture + Lesson |
| Level of course | Master |
| Year of study | 1 |
| Semester | Winter |
| Number of ECTS credits | 4 |
| Language of instruction | Czech |
| Status of course | Compulsory-optional |
| Form of instruction | Face-to-face |
| Work placements | This is not an internship |
| Recommended optional programme components | None |
| Lecturer(s) |
|---|
|
| Course content |
|
Partially ordered sets and lattices. Complete lattices, closure operators, Galois connections. Dedekind-MacNeille completion. Modular and distributive lattices. Boolean algebras, Stone duality. Algebras, subalgebras. Homomorphisms, congruences and quotient algebras. Direct and subdirect products. Varieties of algebras. Terms, identities, free algebras. Congruence permutability, congruence distributivity.
|
| Learning activities and teaching methods |
| unspecified |
| Learning outcomes |
| Prerequisites |
|
unspecified
|
| Assessment methods and criteria |
|
Oral exam
|
| Recommended literature |
|
| Study plans that include the course |
| Faculty | Study plan (Version) | Category of Branch/Specialization | Recommended semester | |
|---|---|---|---|---|
| Faculty: Faculty of Science | Study plan (Version): Mathematics (2023) | Category: Mathematics courses | 1 | Recommended year of study:1, Recommended semester: Winter |