Categories of modules and homological algebra - Spring 2020


Because of the coronavirus situation, this site is currently not updated. All updates, including lecture notes, exercises, and deadlines are sent only via e-mail.


* Please note that in order to pass the course, you must submit all homework problems.

Exercises


* Exercise 1 - pdf. Deadline: 11.3.2020.

Content of lectures

* 18.2.2020. Basics of category theory. Categories of modules. Exact functors. The fact that the functor Hom_A(M,-) is left exact.
* 19.2.2020. Theory of projective modules.
* 25.2.2020. More on projective modules. Theory of injective modules.
* 26.2.2020. More on injective modules. The Bass-Papp theorem.
* 3.3.2020. Tensor product of modules.
* 10.3.2020. Flat modules, generators.
* Starting from 11.3.2020, due to the coronavirus, teaching is suspended. Instead, I will type lecture notes and email them to the students.