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Last update: T_KA (20.05.2009)
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Last update: doc. Mgr. et Mgr. Jan Žemlička, Ph.D. (16.10.2023)
There will be four homework sets, each worth 25 points. To get credit (zápočet) you need to get 64 points in total. |
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Last update: doc. Mgr. et Mgr. Jan Žemlička, Ph.D. (16.10.2023)
Lecture notes: https://www.karlin.mff.cuni.cz/~kompatscher/teaching/alg1_en.pdf
S. Lang, Algebra, 3rd ed. New York 2002, Springer. S. MacLane, G. Birkhoff, Algebra 3rd ed, Providence 1999, AMS Chelsea publishing company. |
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Last update: doc. Mgr. et Mgr. Jan Žemlička, Ph.D. (16.10.2023)
The course will be ended by a written exam followed by an oral exam based on the results of the written one. |
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Last update: Michael Kompatscher, Ph.D. (28.09.2021)
1) Number theory: prime factorization, congruences, Euler's theorem and RSA, the Chinese remainder theorem 2) Polynomials: rings and integral domains, polynomial rings, irreducibility, GCD, the Chinese remainder theorem and interpolation, the construction of finite fields and applications (error-correcting codes, secret sharing,...) 3) Group theory: permutation groups, subgroups, Lagrange's theorem, group actions and Burnsides's theorem, cyclic groups, discrete logarithm and applications in cryptography
see also: https://www.logic.at/staff/kompatscher/algebra1.html |