Z-module

A Z-module is a mathematical structure where you have a set of elements that can be combined with integers (like -2, 0, 3) through an operation called scalar multiplication, similar to multiplying numbers. This structure generalizes the idea of vectors in space but allows for more abstract elements, not necessarily geometric. In a Z-module, adding two elements or multiplying an element by an integer behaves consistently, following specific rules. Essentially, it's a way to study collections of objects that can be scaled and combined, providing a framework for understanding various algebraic systems beyond just vectors.