Universal Algebra I - NALG103

• Title: Univerzální algebra I
• Guaranteed by: Department of Algebra (32-KA)
• Faculty: Faculty of Mathematics and Physics
• Actual: from 2011 to 2012
• Semester: summer
• E-Credits: 6
• Hours per week, examination: summer 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: Czech
• Teaching methods: full-time
• Guarantor: prof. RNDr. Tomáš Kepka, DrSc.
• Teacher(s): prof. Mgr. Libor Barto, Ph.D.; doc. Mgr. Jan Šaroch, Ph.D.
• Classification: Informatics > Theoretical Computer Science; Mathematics > Algebra
• Is co-requisite for: NALG105, NALG011
• Is incompatible with: NMAI031
• Is pre-requisite for: NALG104
• Is interchangeable with: NMAI031

Annotation

English

Basic course in universal algebra.

Last update: T_KA (09.05.2005)

Czech

Základní přednáška z univerzální algebry pro obor Matematické struktury.

Last update: T_KA (21.05.2009)

Literature

English

S. Burris, Sankappanavar: Universal algebra. www.ams.org

J. Ježek: Univerzální algebra a teorie modelů. SNTL, Praha 1976

Last update: T_KA (21.05.2009)

Czech

S. Burris, Sankappanavar: Universal algebra. www.ams.org

J. Ježek: Univerzální algebra a teorie modelů. SNTL, Praha 1976

Last update: T_KA (20.05.2004)

Syllabus

English

Algebras, subalgebras, congruences, products.

Subdirectly irreducible algebras.

Free algebras, varieties, Birkhoff Theorem.

Malcev Theorems.

Varieties with distributive congruences.

Last update: T_KA (19.05.2005)

Czech

Algebry, podalgebry, kongruence, produkty.

Subdirektně ireducibilní algebry.

Volné algebry, variety, Birkhoffova věta.

Věty Maľcevova typu.

Variety s distributivními kongruencemi.

Last update: T_KA (19.05.2005)