C-module

A C-module is a mathematical structure used in algebra that generalizes the concept of vector spaces. Unlike vector spaces, which are built over fields (like real numbers), modules are built over rings, which can include more complex systems like integers. Think of a C-module as a set with an addition operation and scalar multiplication by elements of a ring that follows specific rules. They are fundamental in studying abstract algebraic systems and provide a framework to understand structures like solutions to equations and symmetries within mathematics.