PCMI 2008: Introduction to Algebraic Geometry |

The part of abstract algebra you need to know is ring theory. A topic that will be useful for us but is sometimes not taught in a standard algebra course is exact sequences, especially short exact sequences.

As part of the course, I will eventually ask you to do some computer work using the computer algebra system CoCoA. You can find a link below. The program is free, and it is easy to install. You may want to look at the online tutorial. I have also included links to a couple other (free) computer algebra systems.

- ring
- ideal
- ring homomorphism
- quotient rings
- polynomial ring
- exact sequence

- CoCoA
- Macaulay 2
- Singular

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