Category:Isomorphisms (Abstract Algebra)
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This category contains results about isomorphisms in the context of abstract algebra.
Definitions specific to this category can be found in Definitions/Isomorphisms (Abstract Algebra).
An isomorphism is a homomorphism which is a bijection.
That is, it is a mapping which is both a monomorphism and an epimorphism.
Subcategories
This category has the following 26 subcategories, out of 26 total.
A
E
- Embedding Theorem (3 P)
F
G
I
- Isomorphism Preserves Groups (3 P)
M
- Module Isomorphisms (1 P)
- Monoid Isomorphisms (empty)
R
S
T
- Transplanting Theorem (2 P)
Pages in category "Isomorphisms (Abstract Algebra)"
The following 30 pages are in this category, out of 30 total.
C
- Composite of Isomorphisms in Algebraic Structure is Isomorphism
- Composite of Isomorphisms is Isomorphism
- Composite of Isomorphisms is Isomorphism/Algebraic Structure
- Composite of Isomorphisms is Isomorphism/R-Algebraic Structure
- Condition for Isomorphism between Structures Induced by Permutations
- Construction of Inverse Completion/Quotient Mapping to Image is Isomorphism
I
- Induced Structure from Doubleton is Isomorphic to External Direct Product with Self
- Inverse of Algebraic Structure Isomorphism is Isomorphism
- Isomorphism between Algebraic Structures induces Isomorphism between Induced Structures
- Isomorphism by Cayley Table
- Isomorphism is Equivalence Relation
- Isomorphism of External Direct Products
- Isomorphism Preserves Associativity
- Isomorphism Preserves Cancellability
- Isomorphism Preserves Commutativity
- Isomorphism Preserves Groups
- Isomorphism Preserves Identity
- Isomorphism Preserves Inverses
- Isomorphism Preserves Semigroups
- Isomorphism Theorems