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Course detail
FSI-SOAAcad. year: 2023/2024
The course will familiarise students with basics of modern algebra. We will describe general properties and fonstructions of universal algebras like subalgebras, homomorphisms, and factorization. In more detail, individual algebraic structures will be studied such as groupoids, semigroups, monoids, groups, rings and fields. Particular emphasis will be placerd on groups, rings (especially the ring of polynomials), integral domains (including divisibility) and finite (Galois) fields.
Language of instruction
Number of ECTS credits
Mode of study
Guarantor
Department
Entry knowledge
Rules for evaluation and completion of the course
The course-unit credit is awarded on condition of having attended the seminars actively and passed a written test. The exam has a written and an oral part. The written part tests student's ability to deal with various problems using the knowledge and skills acquired in the course. In the oral part, the student has to prove that he or she has mastered the related theory.
Aims
Students will be made familiar with the basics of general algebra. It will help them to realize numerous mathematical connections and therefore to understand different mathematical branches. The course will provide students also with useful tools for various applications.
Study aids
Prerequisites and corequisites
Basic literature
Recommended reading
Elearning
Classification of course in study plans
specialization NISY , 0 year of study, summer semester, electivespecialization NSPE , 0 year of study, summer semester, electivespecialization NBIO , 0 year of study, summer semester, electivespecialization NSEN , 0 year of study, summer semester, electivespecialization NVIZ , 0 year of study, summer semester, electivespecialization NGRI , 0 year of study, summer semester, electivespecialization NADE , 0 year of study, summer semester, electivespecialization NISD , 0 year of study, summer semester, electivespecialization NMAT , 0 year of study, summer semester, compulsoryspecialization NSEC , 0 year of study, summer semester, electivespecialization NISY up to 2020/21 , 0 year of study, summer semester, electivespecialization NCPS , 0 year of study, summer semester, electivespecialization NHPC , 0 year of study, summer semester, electivespecialization NNET , 0 year of study, summer semester, electivespecialization NMAL , 0 year of study, summer semester, electivespecialization NVER , 0 year of study, summer semester, electivespecialization NIDE , 0 year of study, summer semester, electivespecialization NEMB , 0 year of study, summer semester, electivespecialization NEMB up to 2021/22 , 0 year of study, summer semester, elective
Lecture
Teacher / Lecturer
Syllabus
Exercise
Computer-assisted exercise