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Universal Algebra 1,2 - NALG012

Title:	Univerzální algebra 1,2
Guaranteed by:	Department of Algebra (32-KA)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2005
Semester:	summer
E-Credits:	12
Hours per week, examination:	summer s.:2/2, C [HT] winter s.:2/2, C+Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	cancelled
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time
Note:	starts in summer semester and continues in winter semester of the next academic year

Guarantor:	prof. RNDr. Jaroslav Ježek, DrSc. prof. RNDr. Tomáš Kepka, DrSc.
Class:	Algebra v informatice Universální algebra a mat. logika
Classification:	Mathematics > Algebra
Incompatibility :	NMAI031
Pre-requisite :	NALG027
Is incompatible with:	NMAI031
Is interchangeable with:	NMAI031

Opinion survey results Examination dates Schedule Noticeboard

Annotation -

1 (spring term): Diagrams, limits, colimits, reflections, universal algebras, varieties of algebras, Birkhoff theorem, equational logic. 2 (winter term): Amalgamation and strong amalgamation, lattices of varieties, Mal'cev conditions, absolutely free algebras of terms, identities, arithmetic of terms, lattices of subalgebras and cogruences, Schreier's property.

Last update: G_M (11.10.2001)

Literature - Czech

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

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

Last update: T_KA (26.04.2004)

Syllabus -

Summer semester:

1. Diagrams, limits, colimits, reflections.

2. Universal algebras, varieties.

3. Birkhoff's theorem, equational logic.

Winter semester:

1. Amalgamation and strong amalgamation.

2. Lattices of varieties. Maltsev conditions.

3. Absolutely free algebras, terms, identities.

4. Lattices of subvarieties, congruence lattices.

5. Schreier property.

Last update: T_KA (26.04.2004)