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Last update: T_KA (17.05.2010)
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Last update: RNDr. Alexandr Kazda, Ph.D. (18.02.2018)
S. Lang. Algebra, 3rd ed. New York 2002, Springer. S. MacLane, G. Birkhoff. Algebra 3rd ed, Providence 1999, AMS Chelsea publishing company. Stanley N. Burris, H.P. Sankappanavar. A Course in Universal Algebra, The Millenium Edition, Waterloo 2012. URL: https://www.math.uwaterloo.ca/~snburris/htdocs/ualg.html |
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Last update: RNDr. Alexandr Kazda, Ph.D. (18.02.2018)
Oral examination covering all the material in the assigned reading. |
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Last update: RNDr. Alexandr Kazda, Ph.D. (19.02.2018)
1. Divisibility in commutative cancellative monoids. 2. Principal ideal and Euclidean domains. Polynomial rings, multiplicity of roots, evaluation homomorphism. Why all finite multiplicative subgroups of fields are cyclic. 3. Splitting fields of a polynomial. Rupture field of a polynomial. 4. Finite fields. Existence of irreducible polynomials over finite fields. 5. Free algebras, terms and varieties. |