Course: Lattice Theory and Universal Algebra

» List of faculties » PRF » KAG
Course title Lattice Theory and Universal Algebra
Course code KAG/TSUAA
Organizational form of instruction Lecture + Exercise
Level of course Master
Year of study not specified
Semester Winter
Number of ECTS credits 4
Language of instruction English
Status of course unspecified
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)
  • Chajda Ivan, prof. RNDr. DrSc.
  • Kühr Jan, prof. RNDr. Ph.D.
Course content
Partially ordered sets, lattices, complete lattices, the Dedekind?MacNeille completion. Mo-dular and distributive lattices. Boolean algebras, Stone duality. Algebras, subalgebras. Ho-momorphisms, congruences, quotient algebras. Direct and subdirect products. Varieties of algebras. Terms, equations, free algebras. Congruence distributivity and permutability.

Learning activities and teaching methods
unspecified
Learning outcomes
Student should understand the topic and be able to solve practical tasks.

Prerequisites
unspecified

Assessment methods and criteria
Oral exam

Oral exam
Recommended literature
  • Burris S., Sankappanavar H. P. (2012). A Course in Universal Algebra.
  • Grätzer G. (2011). Lattice Theory: Foundation. Birkhäuser, Basel.
  • Grillet P. A. (2007). Abstract algebra. Springer New York.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester