Definition:Homomorphism

Not to be confused with Definition:Homeomorphism.

Disambiguation

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Homomorphism may refer to:

• Abstract Algebra:
  • Homomorphism (Abstract Algebra), including:
    • Group Homomorphism
    • Ring Homomorphism
    • Field Homomorphism
    • F-Homomorphism
    • R-Algebraic Structure Homomorphism

• Graph Theory:
  • Homomorphism (Graph Theory)

• Riemannian Geometry:
  • Bundle Homomorphism

Also see

• Definition:Isomorphism
• Definition:Monomorphism
• Definition:Epimorphism
• Definition:Endomorphism
• Definition:Automorphism

Linguistic Note

The word homomorphism comes from the Greek morphe (μορφή) meaning form or structure, with the prefix homo- meaning similar.

Thus homomorphism means similar structure.