Module theory
= Module theory
{wiki=Module_theory}
Module theory is a branch of abstract algebra that generalizes the concept of vector spaces to a more general setting. In module theory, the scalars are elements of a ring, rather than a field. This enables the study of algebraic structures where the operations can be more diverse than those defined over fields. \#\#\# Key Concepts: 1. **Modules**: A module over a ring \\( R \\) is a generalization of a vector space.