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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:	https://www2.karlin.mff.cuni.cz/~stanovsk/vyuka/univalg.htm

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 http://www.karlin.mff.cuni.cz/~stanovsk/vyuka/univalg.htm

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 http://www.karlin.mff.cuni.cz/~stanovsk/vyuka/univalg.htm

Syllabus -

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

Basic notions and constructions in nniversal algebra.

Lattices.

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.