= Glossary of module theory
{wiki=Glossary_of_module_theory}
Module theory is a branch of abstract algebra that studies modules, which generalize vector spaces by allowing scalars to come from a ring instead of a field. Here's a glossary of key terms commonly used in module theory: 1. **Module**: A generalization of vector spaces where the scalars come from a ring instead of a field. A module over a ring \\( R \\) consists of an additive abelian group along with a scalar multiplication operation that respects the ring's structure.
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