- #1
flyingpig
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Homework Statement
Check that [tex]\mathbb{F}_2[/tex] is a field
The Attempt at a Solution
The problem set given to us is mixed in notes, so I might have missed something because it's so messy.
These are the two properties given.
A field F is a set with + and * on it such that
[tex](x,y) \to x + y \in \mathbb{F}[/tex] + : [tex]\mathbb{F} \times \mathbb{F} \to \mathbb{F}[/tex]
[tex](x,y) \to xy \in \mathbb{F}[/tex] \cdot : [tex]\mathbb{F} \times \mathbb{F} \to \mathbb{F}[/tex]
The notes previous saidly something about "a curious field F = {0,1}"
What do they mean by "curious field"?