Course plan and lecture notes

The following is a preliminary course plan and is subject to change. Changes will be recorded here.

Day Book chapters Lecture notes
Tuesday 22.08 Chapters 9.1-9.3 1(a).Rings
Friday 25.08 Chapters 9.1-9.3, 9.4 1(b).Rings + 2(a).Constructions and properties related to rings
Tuesday 29.08 Chapter 9.4 2(b).Constructions and properties related to rings
Friday 01.09 Chapter 9.4-9.5 2(c).Constructions and properties related to rings
Tuesday 05.09 Chapter 10.1 + Problem Set 1 3(a).Ideals + Problem Set 1 solutions
Friday 08.09 Chapter 10.1-10.2 3(b).Ideals + 4(a).Ring homomorphisms
Tuesday 12.09 Chapter 10.2 4(b).Ring homomorphisms
Friday 15.09 Chapter 10.3 5.Sum and direct sum of ideals
Tuesday 19.09 Chapter 10.4 6(a).Maximal and prime ideals
Friday 22.09 Chapter 10.4-10.6 6(b).Maximal and prime ideals + 7.Nilpotent and nil ideals, Zorn's lemma
Tuesday 26.09 Chapter 11.1 + Problem Set 2 8(a).PIDs, UFDs and Euclidean domains + Problem Set 2 solutions
Friday 29.09 Chapters 11.1-11.3 8(b).PIDs, UFDs and Euclidean domains
Tuesday 03.10 Chapter 14.1-14.3 9.Modules + 10(a).Module homomorphisms
Friday 06.10 Chapter 14.3 10(b).Module homomorphisms
Tuesday 10.10 Chapter 14.4 11.Semisimple modules
Friday 13.10 Chapter 14.5 12(a).Free modules
Tuesday 17.10 Chapters 14.5, 19.2 + Problem Set 3 12(b).Free modules + 13(a).Noetherian and artinian modules + Problem Set 3 solutions
Friday 20.10 Chapter 19.2 13(b).Noetherian and artinian modules
Tuesday 24.10 Chapter 19.1 and 19.3 14(a).The Wedderburn–Artin theorem
Friday 27.10 Chapter 19.3 14(b).The Wedderburn–Artin theorem
Tuesday 31.10 Chapters 20.1-20.2 + Problem Set 4 15.Row and column rank of a matrix over a PID + Problem Set 4 solutions
Friday 03.11 Chapter 20.3 16.Smith normal form
Tuesday 07.11 Chapters 21.1-21.2 17.Finitely generated modules over a PID
Friday 10.11 Chapter 21.3 + Problem Set 5 18.Finitely generated abelian groups + 19(a).Rational canonical form + Problem Set 5 solutions
Tuesday 14.11 Chapter 21.4 19(b).Rational canonical form
Friday 17.11 Chapter 21.4-21.5 19(c).Rational canonical form + 20(a).Jordan canonical form
Tuesday 21.11 Chapter 21.5 + Problem Set 6 20(b).Jordan canonical form + Problem Set 6 solutions
Friday 24.11 Repetition exam + Games Repetition exam solutions