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Fields
A set
FF
with two binary operations
+,:F×FF+,\cdot:F\times F\to F
is a field if the following holds:
    R,+R,+
    is a commutative group with identity
    00
    R{0},R-\{0\},\cdot
    is a commutative group with identity
    11
    .
    Distributivity:
    a(b+c)=ab+ac,(a+b)c=ac+bca(b+c)=ab+ac,(a+b)c=ac+bc
// field extensions, algebraic elements
Last modified 5mo ago
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