Lecture notes | Czech | English |
---|---|---|
Algebra 1 | alg1_cz | alg1_en |
Algebra 2 | alg1_cz | alg2_en |
Date | Topics | Lecture notes | Homework |
---|---|---|---|
22/02 | Repetition groups, group homomorphisms and isomorphisms, invariants Ex: Examples | Section 1.1-1.3 | |
29/02 | Group classifications; Normal subgroups, quotient groups | Section 1.4, 2 | |
06/03 | The homomomorphism theorem and isomorphism theorems for groups; Ideals, PIDs Ex: determining quotient groups, sums and intersections of ideas in Z |
Section 2, 3 | HW1 due 21/03 |
13/03 | Ring homomorphisms, quotient rings | Section 4 | |
20/03 | Isomorphism theorems for rings, prime/maximal ideals, ring and field extensions Ex:computing quotient rings, ring extensions |
Section 4,5.1 | |
28/03 | Algebraic and transcendental elements, the degree of a field extension, minimal polynomials | Section 5.2,6.1,6.2 | |
04/04 | minimal polynomials, degrees of general extensions, algebraic numbers are a field Ex: computing minimal polynomials, degrees of extensions, splitting fields |
Section 6.2, 6.3 | HW2 due 18/04 |
11/04 | Problems solvable by ruler and compass Uniqueness of rupture fields and splitting fields | Section 7, 8 | |
18/04 | Ex: | ||
25/04 | |||
02/05 | Ex: |
HW3 due 16/05 |
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09/05 | |||
16/05 | Ex: | ||
23/05 |