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Course, academic year 2023/2024
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Universal Algebra 1 - NMAG405
Title: Universální algebra 1
Guaranteed by: Department of Algebra (32-KA)
Faculty: Faculty of Mathematics and Physics
Actual: from 2022
Semester: winter
E-Credits: 5
Hours per week, examination: winter s.:2/2, C+Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: taught
Language: English, Czech
Teaching methods: full-time
Teaching methods: full-time
Additional information:
Guarantor: doc. Mgr. Libor Barto, Ph.D.
Class: M Mgr. MSTR
M Mgr. MSTR > Povinné
Classification: Informatics > Theoretical Computer Science
Mathematics > Algebra
Incompatibility : NALG103
Interchangeability : NALG103
Is interchangeable with: NALG103
Annotation -
Last update: T_KA (09.05.2013)
Basic course in universal algebra.
Course completion requirements -
Last update: doc. RNDr. David Stanovský, Ph.D. (25.09.2018)

Zápočet - solving homeworks.

Exam (zkouška) - written test.

For details see

Literature -
Last update: doc. Mgr. et Mgr. Jan Žemlička, Ph.D. (06.09.2013)

Clifford Bergman: Universal algebra: Fundamentals and selected topics. Chapman and Hall, 2011.

Stanley N. Burris, H. P. Sankappanavar: A course in universal algebra. Springer-Verlag, 1981.

Ralph McKenzie, George McNulty, Walter Taylor: Algebras, Lattices, Varieties, vol. 1. Wadsworth and Brooks/Cole, 1987.

Requirements to the exam -
Last update: doc. RNDr. David Stanovský, Ph.D. (07.10.2021)

Written test, for details see

Syllabus -
Last update: doc. Mgr. et Mgr. Jan Žemlička, Ph.D. (06.09.2013)

Basic notions and constructions in nniversal algebra.


Isomorphism theorems.

Direct and subdirect decomposition.

Varieties and equational theories.

Algebraic and relation clones.

Malcev conditions.

Entry requirements -
Last update: doc. Mgr. et Mgr. Jan Žemlička, Ph.D. (17.05.2019)

Basics of general algebra.

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