Category:Definitions/Abstract Algebra
This category contains definitions related to Abstract Algebra.
Related results can be found in Category:Abstract Algebra.
Abstract algebra is a branch of mathematics which studies algebraic structures and algebraic systems.
Subcategories
This category has the following 65 subcategories, out of 65 total.
A
B
C
D
F
G
H
I
K
L
M
N
O
P
Q
R
S
T
V
Z
Pages in category "Definitions/Abstract Algebra"
The following 200 pages are in this category, out of 234 total.
(previous page) (next page)A
- Definition:Absolute Value on Division Ring
- Definition:Absolute Value on Field
- Definition:Absorb
- Definition:Absorbing Element
- Definition:Absorption Law
- Symbols:Abstract Algebra
- Definition:Abstract Algebra
- Definition:Additive Function (Conventional)
- Definition:Additive Notation
- Definition:Algebra (Abstract Algebra)
- Definition:Algebra Loop
- Definition:Algebraic Structure
- Definition:Algebraic Substructure
- Definition:Algebraic System
- Definition:Algebraic Topology
- Definition:Alternative
- Definition:Antiassociative Operation
- Definition:Antiassociative Structure
- Definition:Anticommutative
- Definition:Anticommutative/Structure with One Operation
- Definition:Anticommutative/Structure with Two Operations
- Definition:Antihomomorphism
- Definition:Archimedean Property
- Definition:Archimedean Property/Norm
- Definition:Archimedean Property/Ordering
- Definition:Associative Algebraic Structure
- Definition:Associative Operation
- Definition:Associative Word on Set
- Definition:Automorphism (Abstract Algebra)
B
C
- Definition:Cancellable
- Definition:Cancellable Element
- Definition:Cancellable Element/Left Cancellable
- Definition:Cancellable Element/Right Cancellable
- Definition:Cancellable Operation
- Definition:Canonical Injection (Abstract Algebra)
- Definition:Canonical Injection (Abstract Algebra)/General Definition
- Definition:Cayley Table
- Definition:Characteristic of Field
- Definition:Closed Algebraic Structure
- Definition:Closed Operation
- Definition:Closed under Operation
- Definition:Closure (Abstract Algebra)
- Definition:Closure (Abstract Algebra)/Algebraic Structure
- Definition:Commutative
- Definition:Commutative Algebra (Mathematical Branch)
- Definition:Commutator
- Definition:Composite Defined by Permutation
- Definition:Congruence Relation
- Definition:Constant Operation
- Definition:Coprime
- Definition:Cross Cancellation Property
- Definition:Cross-Relation
- Definition:Cross-Relation on Natural Numbers
D
E
- Definition:Empty Sum
- Definition:Endomorphism
- Definition:Endomorphism Ring of Abelian Group
- Definition:Entropic
- Definition:Entropic Operation
- Definition:Entropic Structure
- Definition:Epimorphism (Abstract Algebra)
- Definition:Extension of Operation
- Definition:External Direct Product
- Definition:External Direct Product/General Definition
- Definition:External Direct Product/Structures with Two Operations
F
G
I
- Definition:Idempotence
- Definition:Idempotent Algebraic Structure
- Definition:Idempotent Element
- Definition:Idempotent Operation
- Definition:Identity (Abstract Algebra)
- Definition:Induced Operation
- Definition:Induced Structure
- Definition:Infinite Order
- Definition:Infinite Order (Structure)
- Definition:Infinite Structure
- Definition:Internal Direct Product
- Definition:Internal Direct Product/Decomposition
- Definition:Internal Direct Product/General Definition
- Definition:Invariant Theory
- Definition:Inverse (Abstract Algebra)
- Definition:Inverse Completion
- Definition:Inverse of Subset
- Definition:Invertible Element
- Definition:Invertible Operation
- Definition:Involution
- Definition:Isomorphic Algebraic Structures
- Definition:Isomorphic Copy
- Definition:Isomorphism (Abstract Algebra)
- Definition:Isomorphism (Abstract Algebra)/Isomorphic Copy
J
K
L
M
N
O
- Definition:Operation Induced by Direct Product
- Definition:Operation Induced by Direct Product/General Definition
- Definition:Operation Induced by Injection
- Definition:Operation Induced by Restriction
- Definition:Operation Induced on Power Set
- Definition:Operation Induced on Quotient Set
- Definition:Operation Induced on Set of Mappings
- Definition:Opposite Magma
- Definition:Order of Structure
- Definition:Order of Structure/Finite Structure
- Definition:Order of Structure/Infinite Structure
- Definition:Ordered Ring Automorphism
- Definition:Ordered Ring Monomorphism
- Definition:Ordered Structure
- Definition:Ordered Tuple on Set
P
- Definition:Pairwise Coprime
- Definition:Parenthesization
- Definition:Permutable Elements
- Definition:Pointwise Addition of Mappings
- Definition:Pointwise Multiplication
- Definition:Pointwise Operation
- Definition:Pointwise Scalar Multiplication of Mappings
- Definition:Pointwise Scalar Multiplication of Number-Valued Function
- Definition:Polynomial Evaluation Homomorphism
- Definition:Polynomial Theory
- Definition:Positive Definite
- Definition:Power of Element
- Definition:Power-Associative Operation
- Definition:Product Notation (Algebra)
- Definition:Properties of Algebraic Structures of One Operation
- Definition:Properties of Algebraic Structures of Two Operations
