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bn:02125104n
Noun Concept
Categories: Module theory, Articles with short description, Linear algebra stubs, Linear algebra, Algebraic structures
EN
category of modules  module  Category of bimodules  category of finite dimensional K-vector spaces  Category of K-vector spaces
EN
In mathematics, a module is a generalization of the notion of vector space in which the field of scalars is replaced by a ring. Wikipedia
English:
mathematics
algebra
ring theory
Definitions
Relations
Sources
EN
In mathematics, a module is a generalization of the notion of vector space in which the field of scalars is replaced by a ring. Wikipedia
In algebra, given a ring R, the category of left modules over R is the category whose objects are all left modules over R and whose morphisms are all module homomorphisms between left R-modules. Wikipedia
Generalization of vector space, with scalars in a ring instead of a field Wikidata
IS A
concrete category
category
Abelian group
HAS PART
Abelian group
ring
radical of a module
HAS KIND
Abelian group
Hilbert C*-module
G-module
tensor product of modules
finitely generated module
+19 relations
HAS INSTANCE
voltage controller
DIFFERENT FROM
absolute value
HAS PARTS OF THE CLASS
category of modules
module homomorphism
STUDIED BY
commutative algebra
Wikipedia
EN
category of modules, module (mathematics)
Wikidata
EN
category of modules, module
Wikipedia Redirections
EN
Category of bimodules, category of finite dimensional K-vector spaces, Category of K-vector spaces, Category of modules over a ring, Category of real vector spaces, category of vector spaces, K-Vect, Left-module, left module, Module (algebra), module categories, module category, Module mathematics, module over a ring, module theory, R-module, right module, ring action, submodule, submodules, unital module, Vect(K), Z-module, ℤ-module
Wikidata Alias
EN
category of modules over a ring, Mod, module over a ring, R-Mod

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