Field (mathematics)
= Field (mathematics)
{wiki=Field_(mathematics)}
In mathematics, a **field** is a set equipped with two binary operations that generalize the arithmetic of rational numbers. These operations are typically called addition and multiplication, and they must satisfy certain properties. Specifically, a field is defined as follows: 1. **Closure**: For any two elements \\( a \\) and \\( b \\) in the field, both \\( a + b \\) and \\( a \\cdot b \\) are also in the field.