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Lecturer(s)
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Dofková Radka, doc. PhDr. Ph.D.
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Zdráhal Tomáš, doc. RNDr. CSc.
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Bártková Eva, Mgr. Ph.D.
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Course content
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Algebraic structures. Partitions via subgroups. Langrange's Theorem. Normal subgroups, congruences on groups and factor groups. Classification of finite groups up to order 15. Rings and subrings. Isomorphism of rings. Integral domains, division rings and fields. Ideals, congruences on rings and factor rings. Algebraic equations over integral domains.
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Learning activities and teaching methods
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Lecture
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Learning outcomes
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Competencies in the field of algebraic structures.
Ability to abstract relations in numeric fields to more general integral domains.
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Prerequisites
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Successful completion of the course Algebra 1.
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Assessment methods and criteria
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Mark
Active knowledge of subject matter.
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Recommended literature
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BLAŽEK, J. a kol. Algebra a teoretická aritmetika 1. Praha: SPN 1985..
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EMANOVSKÝ, P.: Algebra 2. Olomouc. VUP 2003. ISBN 80-244-0350-7.
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