Category:Definitions/Module Theory
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This category contains definitions related to Module Theory.
Related results can be found in Category:Module Theory.
Module Theory is the branch of abstract algebra which studies modules.
Subcategories
This category has the following 21 subcategories, out of 21 total.
A
- Definitions/Annihilators (8 P)
B
C
D
G
L
N
Q
S
- Definitions/Scalar Addition (5 P)
T
- Definitions/Tensor Algebra (2 P)
U
- Definitions/Unitary Modules (4 P)
V
- Definitions/Vector Addition (7 P)
Z
- Definitions/Zero Vectors (6 P)
Pages in category "Definitions/Module Theory"
The following 103 pages are in this category, out of 103 total.
A
C
- Definition:Canonical Basis of Free Module on Set
- Definition:Category of Left Modules
- Definition:Category of Modules
- Definition:Category of Right Modules
- Definition:Category of Unitary Modules
- Definition:Commutative Algebra (Mathematical Branch)
- Definition:Compatible Module Structures
- Definition:Coordinate with respect to Basis of Module
D
E
F
I
L
M
- Definition:Minimal Condition/Submodule Ordering
- Definition:Module
- Definition:Module Automorphism
- Definition:Module Defined by Ring Homomorphism
- Definition:Module Direct Product/Finite Case
- Definition:Module Direct Product/General Case
- Definition:Module Endomorphism
- Definition:Module Homomorphism
- Definition:Module Isomorphism
- Definition:Module Monomorphism
- Definition:Module of Finite Type
- Definition:Module Structure of Ring
- Definition:Module Theory
P
R
- Definition:R-Action
- Definition:R-Algebraic Structure
- Definition:R-Algebraic Structure Automorphism
- Definition:R-Balanced Mapping
- Definition:Restriction of Scalars of Module
- Definition:Right Module
- Definition:Ring Antirepresentation
- Definition:Ring Representation
- Definition:Ring Representation/Unital
S
- Definition:Scalar
- Definition:Scalar (Module)
- Definition:Scalar Addition
- Definition:Scalar Addition (Module)
- Definition:Scalar Addition/Module
- Definition:Scalar Division
- Definition:Scalar Multiplication
- Definition:Scalar Multiplication on Module
- Definition:Scalar Multiplication/Module
- Definition:Scalar Ring
- Definition:Scalar Ring of Module
- Definition:Scalar Ring of Unitary Module
- Definition:Scalar Ring/Module
- Definition:Scalar Ring/Unitary Module
- Definition:Scalar Ring/Zero Scalar
- Definition:Scalar/Module
- Definition:Scalar/R-Algebraic Structure
- Definition:Standard Basis
- Definition:Standard Ordered Basis
- Definition:Submodule
- Definition:Submodule/Proper
- Definition:Subring Module
- Definition:Support of Module