Commutative Algebra
An abelian group is a set equipped with an operation that satisfies four main properties: closure, associativity, identity, and invertibility. Additionally, the operation must be commutative, meaning that the order in which you combine elements does not affect the result. This structure is important because it lays the foundation for various algebraic concepts, especially when discussing more complex systems like exact sequences.
congrats on reading the definition of abelian group. now let's actually learn it.