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Lecturer(s)
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Kühr Jan, prof. RNDr. Ph.D.
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Course content
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1. Integral domains: Divisibility in integral domains, principal ideal domains, euclidean domains and unique factorization domains. 2. Fields: Finite fields. Extensions, algebraic extensions, algebraic closure. 3. Constructions by staight edge and compass. 4. Solvability of algebraic equations in radicals.
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Learning activities and teaching methods
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Lecture, Monologic Lecture(Interpretation, Training)
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Learning outcomes
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To understand selected topics of the theory of integral domains and fields.
Students are familiar with basic concepts and theorems, including their proofs.
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Prerequisites
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Prerequisite: KAG/A1M.
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Assessment methods and criteria
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Oral exam, Written exam
Credit: attendance at seminars and/or written test (according to the instructor's discretion). Exam: oral exam, students have to demonstrate their knowledge and understanding of the subject matter (A1M and A2M).
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Recommended literature
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Birkhoff G., Bartee T. C. (1981). Aplikovaná algebra. Alfa Bratislava.
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Birkhoff G., MacLane S. (1974). Algebra. Alfa Bratislava.
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Grillet P. A. (2007). Abstract algebra. Springer New York.
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Chajda I. (2014). Vybrané kapitoly z algebry. VUP Olomouc.
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Krutský F. (1995). Algebra I. VUP Olomouc.
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