|
|
|
||
Last update: T_KA (14.05.2013)
|
|
||
Last update: doc. Mgr. et Mgr. Jan Žemlička, Ph.D. (10.06.2019)
Předmět je zakončen ústní zkouškou. |
|
||
Last update: prof. RNDr. Jan Trlifaj, CSc., DSc. (14.12.2023)
1. J. Trlifaj, Approximations of modules, Lecture notes for NMAG531, https://www.karlin.mff.cuni.cz/~trlifaj/AM_2.pdf.
2. R. Göbel and J. Trlifaj, Approximations and Endomorphism Algebras of Modules, GEM 41, 2nd rev. ext. ed., Walter de Gruyter, Berlin 2012.
|
|
||
Last update: prof. RNDr. Jan Trlifaj, CSc., DSc. (14.12.2023)
The exam is oral. Knowledge of the lecture notes J. Trlifaj: "Approximations of modules" (available at https://www.karlin.mff.cuni.cz/~trlifaj/AM_2.pdf), or of selected parts of the monograph Goebel-Trlifaj: "Approximations and Endomorphism Algebras of Modules", 2nd rev. ext. ed., Vol. 1, W. de Gruyter, Berlin 2012, is required. |
|
||
Last update: prof. RNDr. Jan Trlifaj, CSc., DSc. (14.12.2023)
1. C-filtrations, Hill Lemma and its consequences.
2. Approximations of modules and complete cotorsion pairs.
3. Modules of bounded homological dimensions.
4. Purity and deconstruction of modules.
5. Minimal approximations, flat covers, and the Enochs Problem.
6. Tilting modules and approximations.
7. Classes of finite type.
8. Finitistic dimension conjectures.
|