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Filters and Ideals in Lattices - NALG006

Title:	Filtry a ideály ve svazech
Guaranteed by:	Department of Algebra (32-KA)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2008
Semester:	winter
E-Credits:	6
Hours per week, examination:	winter s.:2/0, --- [HT] summer s.:2/0, 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

Guarantor:	Ladislav Beran
Class:	Algebra v přírodních vědách
Classification:	Mathematics > Algebra
Co-requisite :	NALG027

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Annotation -

Lecture concerning idealas and filters in lattices. Some basic facts of introductory nature prepare the students for special topics and inform him about the actual problems in the related areas of lattice theory.

Last update: T_KA (21.05.2001)

Literature - Czech

L. Beran: Grupy a svazy, SNTL, Praha 1975 L. Beran: Orthomodular Lattices (Algebraic Approach), Reidel Publ. Co., Dordrecht 1985

B.A.Davey, H.A. Priestley: Introduction to Lattices and Order, Cambridge University Press 1990

Last update: Zakouřil Pavel, RNDr., Ph.D. (05.08.2002)

Syllabus -

WT:

1. Introduction.

2. Ideals in classes of lattices.

3. Ideals as kernels of congruences.

4. Completions of lattices.

ST:

5. Prime ideals.

6. Projectivity in lattices.

7. Ideals in orthomodular lattices.

8. Semiprime ideals.

9. A survey of some new results; assumed trends in further research.

Last update: T_KA (10.05.2004)