|
Lecturer(s)
|
-
Kühr Jan, prof. RNDr. Ph.D.
|
|
Course content
|
Algebraic extensions of a field, algebraically closed fields, the algebraic closure of a field. Constructions with straighedge and compass. Galois extensions, Galois groups, and the fun-damental theorem of Galois theory. Solvability of algebraic equations in radicals.
|
|
Learning activities and teaching methods
|
|
Dialogic Lecture (Discussion, Dialog, Brainstorming)
|
|
Learning outcomes
|
Student should understand the topic and be able to solve practical tasks.
|
|
Prerequisites
|
unspecified
|
|
Assessment methods and criteria
|
Oral exam
Student should understand the topic and be able to solve practical tasks.
|
|
Recommended literature
|
-
Grillet P. A. (2007). Abstract algebra. Springer New York.
-
Chajda I. (2000). Vybrané kapitoly z algebry. PřF UP Olomouc.
-
Lang S. (2002). Algebra. Springer.
-
Milne J. S. Fields and Galois Theory.
-
S. Roman. (2006). Field Theory. Second Edition, Graduate Texts in Mathematics 158. Springer.
-
Stewart I. (2004). Galois theory. Chapman & Hall.
|