Isomorphism

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Applications

Algebraic Linear isomorphisms Invertible matrices Isomorphism classes Finite groups

23 related topics

Examples

Multiplicative group Positive real numbers Logarithm function Group homomorphism Exponential function

47 related topics

Relation to equality

Equality Intensional Set builder notation Extensional Integers

16 related topics

Overview

Group Roots of unity Mathematics Mapping Morphism

40 related topics

Topics to explore

Browse the full topic structure. Each item opens a new analysis centered on that subject.

Overview

Group Group (mathematics)
Roots of unity
Mathematics
Mapping Map (mathematics)
Morphism
Structures Mathematical structure
Inverse mapping Inverse function
Ancient Greek Ancient Greek language
Up to
Defining the real numbers Construction of the real numbers
Real numbers Real number
Vector space
Automorphism
Canonical map
Universal property
Prime number
Fields Field (mathematics)
Isomorphism theorems
Algebraic structures Algebraic structure
Categories Category (mathematics)
Homomorphisms Homomorphism
If and only if
Bijective
Isometry
Metric spaces Metric space
Homeomorphism
Topological spaces Topological space
Diffeomorphism
Differential structure
Differentiable manifolds Differentiable manifold

Examples

Multiplicative group
Positive real numbers
Logarithm function
Group homomorphism
Exponential function
Group isomorphisms Group isomorphism
Ruler
Table of logarithms
Slide rule
Ring Ring (mathematics)
Modulo Modular arithmetic
Chinese remainder theorem
Coprime
Binary relation
Reflexive Reflexive relation
Irreflexive Irreflexive relation
Symmetric Symmetric relation
Antisymmetric Antisymmetric relation
Asymmetric Asymmetric relation
Transitive Transitive relation
Total Connected relation
Trichotomous Homogeneous relation
Partial order
Total order
Well-order
Total preorder Strict weak order
Equivalence relation
Ordering Order theory
Order isomorphism
Bijection

Applications

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Map overview Semantic statistics

Nodes143

Edges142

Triples43

Avg. degree1.99

Density0.013986

Components1

How this topic connects Entity context

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Isomorphism

Top relations

has application · 7

Isomorphism → Field, Galois, Group, In, Linear, Ring, Some

related to External links · 6

Isomorphism → EMS Press, Encyclopedia, Eric, Mathematics, MathWorld, Weisstein

related to Relation to equality · 6

Isomorphism → Although, By, Equality, For, On, They

related to Examples · 5

Isomorphism → Examples, Ordinals, The, There, Two

is a · 4

Isomorphism → isomorphism, morphism f, same as a homomorphism which is bijective on underlying sets, structure-preserving mapping or morphism between two structures of the same type that can be reversed by an inverse mapping

related to Category theoretic view · 4

Isomorphism → FG, GF, In, Two

see also · 3

Isomorphism → BisimulationEquivalence, IsometryIsomorphism, Mathematics

related to Isomorphism classes · 2

Isomorphism → An, Since

related to Isomorphism vs. bijective morphism · 2

Isomorphism → However, In

related to Notation · 2

Isomorphism → However, The

Important terminology Word statistics

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

isomorphic displaystyle two isomorphisms structures example one structure numbers objects identified bijective algebraic spaces integers sets unique classes group category

Entity relationships Subject–Predicate–Object triples

Subject	Predicate	Object	Confidence	Src
Isomorphism	is a	structure-preserving mapping or morphism between two structures of the same type that can be reversed by an inverse mapping	0.90	text
Isomorphism	is a	morphism f	0.90	text
Isomorphism	is a	same as a homomorphism which is bijective on underlying sets	0.90	text
Isomorphism	is a	isomorphism	0.90	text
additional structure or names of objects	instance of	excluding further information	0.80	text
Isomorphism	has application	In	0.60	section
Isomorphism	has application	Some	0.60	section
Isomorphism	has application	Linear	0.60	section
Isomorphism	has application	Group	0.60	section
Isomorphism	has application	Ring	0.60	section
Isomorphism	has application	Field	0.60	section
Isomorphism	has application	Galois	0.60	section

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Connections between topic areas Semantic bridges

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Applications

Examples

Relation to equality

Overview

Key facts & relationships

Topics to explore

Overview

Examples

Applications

Category theoretic view

Isomorphism classes

Relation to equality

Advanced semantic analysis

Map overview Semantic statistics

Isomorphism

How this topic connects Entity context

Isomorphism

Top relations

Important terminology Word statistics

Important terminology

Entity relationships Subject–Predicate–Object triples

Related concept clusters Concept neighborhoods

Connections between topic areas Semantic bridges