Lukas' Notes

Home

❯

Knowledge

❯

Homomorphism

Homomorphism

Jul 25, 20251 min read

algebra

Definition

Homomorphism

A homomorphism φ:(G,∘)→(H,∗) is a morphism in algebraic structures (such as groups, rings or vector spaces) that maps from a group (G,∘) to a group (H,∗) such that:

∀x,y∈G:φ(x∘y)=φ(x)∗φ(y)

Graph View

Backlinks

  • Isomorphism
  • Linear Mapping
  • Natural Exponential Function

Created with Quartz v4.4.0 © 2025

  • GitHub