Fancy Algebra

This is a short course on the foundations of noncommutative algebra. It is/was offered during Fall 2016 at the Universität des Saarlandes in Saarbrücken, Germany.
Item Date Information
Exercises 1
Exercises 2
Exercises 3
Exercises 4
Exercises 5
Exercises 6
Oct 24--Dec 15 Course Notes 1
Categories are like Posets
Galois Connections
Categories are like Vector Spaces
Yoneda's Lemma
Adjoint Functors
Course Notes 2
Ab-Categories (or Ringoids)
Monoid-Sets vs Ring-Modules
Philosophy of "Representation Theory"
Definition of Abelian Categories