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Vyučující
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Kühr Jan, prof. RNDr. Ph.D.
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Obsah předmětu
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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.
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Studijní aktivity a metody výuky
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Dialogická (diskuze, rozhovor, brainstorming)
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Výstupy z učení
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Student should understand the topic and be able to solve practical tasks.
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Předpoklady
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nespecifikováno
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Hodnoticí metody a kritéria
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Ústní zkouška
Student should understand the topic and be able to solve practical tasks.
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Doporučená literatura
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Grillet P. A. (2007). Abstract algebra.
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Chajda I. (2000). Vybrané kapitoly z algebry. Olomouc.
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Lang S. (2002). Algebra.
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Milne J. S. Fields and Galois Theory.
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S. Roman. (2006). Field Theory. Second Edition, Graduate Texts in Mathematics 158.
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Stewart I. (2004). Galois theory. Chapman & Hall.
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