Fields of abstract algebra
= Fields of abstract algebra
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Fields are a fundamental concept in abstract algebra, a branch of mathematics that studies algebraic structures. A field is a set equipped with two operations: addition and multiplication, satisfying certain properties. Here are the key properties that define a field: 1. **Closure**: For any two elements \\(a\\) and \\(b\\) in the field, both \\(a + b\\) and \\(a \\cdot b\\) are also in the field.