Principal indecomposable module
= Principal indecomposable module
{wiki=Principal_indecomposable_module}
In the context of module theory, a branch of abstract algebra, a **principal indecomposable module** refers to a structure that arises in the study of modules over rings. \#\#\# Definitions: 1. **Module**: A module over a ring \\( R \\) is a generalization of the notion of a vector space where the scalars come from a ring instead of a field.