Abelian group theory
= Abelian group theory
{wiki=Category:Abelian_group_theory}
Abelian group theory is a branch of abstract algebra that focuses on the study of Abelian groups (or commutative groups). An **Abelian group** is a set equipped with an operation that satisfies certain properties: 1. **Closure**: For any two elements \\( a \\) and \\( b \\) in the group, the result of the operation (usually denoted as \\( a + b \\) or \\( ab \\)) is also in the group.