Module (mathematics)
In abstract algebra, the notion of a module over a ring is the common generalizations of two of the most important notions in algebra, vector space (where we take the ring to a particular field), and abelian group (where we take the ring to be the ring of integers).
Related Topics:
Abstract algebra - Ring - Vector space - Field - Abelian group - Ring of integers
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~ Table of Content ~
| ► | Introduction |
| ► | Motivation |
| ► | Definition |
| ► | Examples |
| ► | Submodules and homomorphisms |
| ► | Types of modules |
| ► | Relation to representation theory |
| ► | Generalizations |
| ► | See also |
| ► | References |
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