Approximations of Modules - NALG077

• Title: Aproximace modulů
• Guaranteed by: Department of Algebra (32-KA)
• Faculty: Faculty of Mathematics and Physics
• Actual: from 2018
• Semester: summer
• E-Credits: 3
• Hours per week, examination: 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
• Teaching methods: full-time
• Guarantor: prof. RNDr. Jan Trlifaj, CSc., DSc.
• Classification: Mathematics > Algebra
• Interchangeability : NMAG531
• Is incompatible with: NMAG531
• Is interchangeable with: NMAG531

Annotation

English

Last update: T_KA (11.04.2008)

An introduction to the theory of envelopes and covers of modules. Complete cotorsion pairs. The proof of the Flat Cover Conjecture. Tilting approximations. Connections to the Finitistic Dimension Conjectures for algebras. Solution to the Baer Problem.

Czech

Last update: T_KA (08.04.2008)

Základy teorie obalů a pokrytí modulů. Úplné kotorzní teorie. Důkaz hypotézy plochých pokrytí. Vychylující aproximace. Souvislosti s hypotézou finitistické dimenze algeber. Řešení Baerova problému.

Literature

Last update: T_KA (08.04.2008)

R. Göbel and J. Trlifaj, Approximations and endomorphism algebras of modules, GEM 41, Walter de Gruyter, Berlin 2006.

Syllabus

English

Last update: T_KA (08.04.2008)

1. An introduction to the theory of envelopes and covers of modules.

2. Complete cotorsion pairs.

3. The proof of the Flat Cover Conjecture.

4. Tilting approximations, finite type.

5. Connections to the Finitistic Dimension Conjectures for algebras.

6. Solution to the Baer Problem.

Czech

Last update: T_KA (08.04.2008)

1. Základy teorie obalů a pokrytí modulů.

2. Úplné kotorzní páry.

3. Důkaz hypotézy plochých pokrytí.

4. Vychylující aproximace, konečný typ.

5. Souvislosti s hypotézou finitistické dimenze algeber.

6. Řešení Baerova problému.