Associative algebra

Associative algebra is a branch of mathematics that studies structures where you can combine elements using an operation (like addition or multiplication), and the order of grouping those elements doesn’t matter. Specifically, in an associative algebra, the way you group the multiplication of three elements (for example, (a·b)·c versus a·(b·c)) doesn’t change the result. This property simplifies calculations and allows for the development of advanced mathematical theories used in areas like physics, coding, and computer science. Think of it as a system where combining elements is consistent regardless of how you bundle them together.