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Module (mathematics)

In mathematics, a module is a generalization of the notion of vector space in which the field of scalars is replaced by a (not necessarily commutative) ring. The concept of a module also generalizes the notion of an abelian group, since the abelian groups are exactly the modules over the ring of integers.

Examples, Types of modules & Further notions

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Overview

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Submodules and homomorphisms

Types of modules

Further notions

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Map overview Semantic statistics

Module (mathematics)

Nodes132
Edges131
Triples4
Avg. degree1.98
Density0.015152
Components1

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Important terminology Word statistics

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Important terminology

ring module modules r-module left group vector abelian commutative right category r-modules set homomorphism field called multiplication space scalars also

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
the distributive lawinstance ofsubject to certain axioms0.80text
Lp spacesinstance ofor certain well-behaved infinite-dimensional vector spaces0.80text
3 or 6 multiplies an elementinstance ofsince when an integer0.80text
the result is 0instance ofsince when an integer0.80text

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