Saturday, April 25, 2009

Field extensions photo

Here's a shot of the Venn diagram we made for yesterday's exercise (my apologies for the crappy quality of my cell phone's camera):

As we decided in class, the sets of pure, radical, finite/algebraic, and arbitrary extensions make up a rough map of the inner solar system, while the normal field extensions act as a short-period comet orbiting the rational sun on an elliptical orbit pointing to the upper left corner of the picture. (The field of complex numbers, clearly visible in the upper left, marks the comet's aphelion.)

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