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Monomorphism

In the context of abstract algebra or universal algebra, a monomorphism is an injective homomorphism. A monomorphism from X to Y is often denoted with the notation X ↪ Y {\displaystyle X\hookrightarrow Y} .

Examples, Overview & Relation to invertibility

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Overview

Relation to invertibility

Examples

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Related concepts

Terminology

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Map overview Semantic statistics

Monomorphism

Nodes43
Edges42
Triples65
Avg. degree1.95
Density0.046512
Components1

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Monomorphism

Top relations

related to References · 39
Monomorphism → Aarhus, An Invitation, Basic Category Theory, Bergman, Borceux, BRICS, Brics Lecture Series, Cambridge University Press, Categorical Algebra, Category Theory, Computer Science Department, Context, Dover Publications, Emily, EMS Press, Encyclopedia, Foundations, Francis, General Algebra, George
related to Examples · 14
Monomorphism → Div, Every, For, From, If, In, It, Nevertheless, Now, Q/Z, The, Then, This, Without
related to Terminology · 8
Monomorphism → Bourbaki, Early, In, Nicolas Bourbaki, Saunders Mac Lane, The, This, While
is a · 2
Monomorphism → epimorphism, injective homomorphism
related to Related concepts · 1
Monomorphism → There
related to Relation to invertibility · 1
Monomorphism → Left-invertible

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Important terminology

category injective morphism also morphisms epimorphism monic called monomorphisms categorical categories displaystyle general said theory divisible isbn circ group every

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Monomorphismis ainjective homomorphism0.90text
Monomorphismis aepimorphism0.90text
Monomorphismrelated to ExamplesEvery0.60section
Monomorphismrelated to ExamplesIn0.60section
Monomorphismrelated to ExamplesThe0.60section
Monomorphismrelated to ExamplesIt0.60section
Monomorphismrelated to ExamplesFor0.60section
Monomorphismrelated to ExamplesDiv0.60section
Monomorphismrelated to ExamplesQ/Z0.60section
Monomorphismrelated to ExamplesThis0.60section
Monomorphismrelated to ExamplesNevertheless0.60section
Monomorphismrelated to ExamplesIf0.60section

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