MAT.512UB / MAT.513UB Noncommutative Algebra
WS 2025/26
Lecture and exercise class.
Lecture Meeting times:
13:00-13:45 Tue @ SR11.34, Oct 7 - Jan 27 Starting time changed Oct 28!
10:00-11:30 Thu @ SR11.34, Oct 9 - Jan 29
Exercises Meeting times:
13:45-14:30 Tue @ SR11.34, Oct 7 - Jan 27 Starting time changed Oct 28!
Instructor: Eleonore Faber
Email: eleonore.faber@uni-graz.at
Office: 524 (4th floor of Heinrichstr. 36)
Office hours: by appointment
Course information (syllabus) can be found HERE.
(Handwritten) lecture notes will be posted below:
Notes week 1 : Notation, basic definitions, in particular ACC and DCC and noetherian and artinian modules.
Notes week 2 : Simple and semisimple modules, Schur's lemma, composition series.
Notes week 3 : Jordan-H&omlt;lder Theorem, Krull-Schmidt property, a semisimple ring is left artinian, idempotents.
Notes week 4 : More idempotents, direct sum decomposition, Jacobson density theorem.