Math 60220 Basic Algebra 2 (Fall 2015)
Graduate Algebra
Due | Set | Solutions | Topics |
Wed, Jan 28 | Homework 1 | Solutions | Linear algebra |
Wed, Feb 4 | Homework 2 | Solutions | Linear algebra, integral closure |
Wed, Feb 11 | Homework 3 | Solutions | Complexes, commutative diagrams, Grothendieck rings |
Wed, Feb 18 | Homework 4 | Solutions | Projective modules, projective resolutions, injective modules |
Wed, Feb 25 | Homework 5 | Solutions | Tor, Ext, derived functors, Kaehler differentials |
Wed, Mar 4 | Homework 6 | Solutions | Representable functors, splitting fields |
Wed, Apr 1 | Homework 7 | Solutions | Normal extensions, field automorphisms |
Wed, Apr 8 | Homework 8 | Solutions | Cyclotomic fields and polynomials, Galois groups |
Wed, Apr 15 | Homework 9 | Solutions | Fixed fields, cyclotomic polynomials, Galois groups, traces and norms |
Wed, Apr 22 | Homework 10 | Solutions | Abelian inverse Galois problem, discriminants, Galois groups, the different |
Wed, Apr 29 | Homework 11 | Solutions | Infinite Galois groups, group cohomology, induction of modules |
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