Modern Algebra 2  106381





Lecture 
Exercise 
Laboratory 
Project or Seminar 
House Work 
Weekly Hours 
3 



5 

Determination of the grade according to progress during the semester and a final examination.
Categories and Functors, Products and Coproducts. Universal Objects. Fiber Products and Coproducts. Free Groups. Coproducts in the Category of Groups and in the Category of Abelian Groups. Tensor Products. Linear Algebra Over Rings. Simple and Primitive Rings: Schur'S Lemma, Jacobson Density Theorem, WedderbruanArtin Theorem. Jacobson Radical, Semisimple Artinian Rings. Algebras Over Fields: Finite Dimensional Central Simple Algebras and Division Algebras. Tensor Products of Algebras. Theorems of Frobenius, SkolemNoether, Wedderbrun. Double Centralizer Theorem. Splitting Fields. Crosssed Products and Cyclic Algebras. the Brauer Group of a Field.
Created in 19/02/2020 Time 12:50:51