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field [2013/09/05 20:31] nikolaj |
field [2014/02/01 19:12] nikolaj |
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| ===== Field ===== | ===== Field ===== | ||
| - | ==== Definition ==== | + | ==== Set ==== |
| | @#88DDEE: $X$ | | | @#88DDEE: $X$ | | ||
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| One generally (also) calls $F$ the field. | One generally (also) calls $F$ the field. | ||
| + | |||
| + | === Theorems === | ||
| + | Finite fields are completely determined by their cardinality. | ||
| + | |||
| + | There is a field of cardinality for each $p^n$, $p$ prime. | ||
| + | |||
| ==== Reference ==== | ==== Reference ==== | ||
| Wikipedia: [[http://en.wikipedia.org/wiki/Field_%28mathematics%29|Field]] | Wikipedia: [[http://en.wikipedia.org/wiki/Field_%28mathematics%29|Field]] | ||
| - | ==== Context ==== | + | ==== Parents ==== |
| === Subset of === | === Subset of === | ||
| [[Division ring]] | [[Division ring]] | ||
