Definition
A near-field is a set, together with two binary operations, (addition) and (multiplication), satisfying the following axioms:
- A1: is an Abelian group.
- A2: = for all elements, of (The associative law for multiplication).
- A3: for all elements, of (The right distributive law).
- A4: contains an element 1 such that for every element of (Multiplicative identity).
- A5: For every non-zero element a of there exists an element such that (Multiplicative inverse).
Read more about this topic: Near-field (mathematics)
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Wherein the Beast ravens in its own avidity?”
—Richard Eberhart (b. 1904)
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