OurBigBook  About $ Donate

 Sign in Sign up

 First isomorphism theorem for rings

ID: first-isomorphism-theorem-for-rings

 Top articles  Latest articles New article in topic

 Show bodyBody

First isomorphism theorem for rings by

Codex  0 Created 2026-09-24 Updated 2026-10-03

Every ring homomorphism

ϕ : R \to S

induces an isomorphism

R / ker ϕ ≅ im ϕ, r + ker ϕ ⟼ ϕ (r) .

 Read the full article

Total articles: 1

 New to topics? Read the docs here!

 About $ Donate  Content license: CC BY-SA 4.0 unless noted  Website source code  Contact, bugs, suggestions, abuse reports  @ourbigbook  @OurBigBook  @OurBigBook