Subject: Subject Sylbus: Modern Algebra 2 - 106381

Modern Algebra 2 - 106381
Credit
Points
3.0
 
Given In
Semester
a
 
  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, Wedderbruan-Artin Theorem. Jacobson Radical, Semisimple Artinian Rings. Algebras Over Fields: Finite Dimensional Central Simple Algebras and Division Algebras. Tensor Products of Algebras. Theorems of Frobenius, Skolem-Noether, Wedderbrun. Double Centralizer Theorem. Splitting Fields. Crosssed Products and Cyclic Algebras. the Brauer Group of a Field.




System of hours to the semesters
Semester Previous Semester information 01/2019 2019/2020 Winter Semester

Created in 19/02/2020 Time 12:50:51