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week 1 |
Modules - direct sums and products, quotient modules, module homomorphisms; free modules and their bases; invariant basis number property and rank of free module; projective modules. |
| week 2 01/22 |
Group completion and the group K0 of a ring; categorical considerations: natural transformations of functors, representable functors, adjoint functors. |
| week 3 01/29 |
Hom functor and tensor product: adjointness, relation to bilinear maps, basic properties. |
| week 4 02/05 |
Restriction and extension of scalars; application to rings with the IBN property; algebras and their tensor products. |
Last modified: Thu, 08.02.2007 13:24 |