Field
Table of Contents
- A set \(F\) with two operations addition and multiplication that behave as corresponding operations in Real or Rational numbers.
- A set \(F\) with two operations addition and multiplication such that:
- \(F\) is a abelian group under addition
- \(F \backslash \{0\}\) is an abelian group under multiplication
- Multiplication distributes over addition
- A nonzero (i.e. not trivial ring) commutative ring where every nonzero element has an inverse is called a Field.