Field (mathematics)

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In mathematics a field is a certain kind of algebraic structure. In a field you can add (x+y), subtract (x-y), multiply (x\cdot y) and divide (x/y) two numbers (with division only allowed if y is not equal to zero). A field is a special ring, in which you can divide.

Examples of fields[change | edit source]

Examples for fields are

The integers \mathbb{Z} are not a field, because you cannot always divide without a remainder.