Module > Related Articles
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Contents |
Parent topics
- abstract algebra [r]: Branch of mathematics that studies structures such as groups, rings, and fields. [e]
Subtopics
Classes of modules defined by structural properties
- free module [r]: Add brief definition or description
- locally free module [r]: Add brief definition or description
- stably free module [r]: A module which is close to being free: the direct sum with some free module is free. [e]
- projective module [r]: Add brief definition or description
- injective module [r]: Add brief definition or description
- Noetherian module [r]: Module in which every ascending sequence of submodules has only a finite number of distinct members. [e]
- Artinian module [r]: Add brief definition or description
- finitely-generated module [r]: Add brief definition or description
- semi-simple module [r]: Add brief definition or description
- simple module [r]: Add brief definition or description
Modules over special types of rings
- abelian group [r]: A group in which the group operation is commutative. [e]
- vector space [r]: A set of vectors that can be added together or scalar multiplied to form new vectors [e]
- Galois module [r]: Add brief definition or description
- principal ideal domain [r]: Add brief definition or description
- Dedekind domain [r]: A Noetherian domain, integrally closed in its field of fractions, of which every prime ideal is maximal. [e]
- Iwasawa module [r]: Add brief definition or description
Modules occurring in practice
- homology groups [r]: Add brief definition or description
- class groups [r]: Add brief definition or description
