MathGloss

A ring homomorphism is a map $f:S\to R$ between rings $S$ and $R$ such that

• $f:(S,+) \to (R,+)$ is a group homomorphism;
• $f(s_1s_2)= f(s_1)f(s_2)$ for all $s_1,s_2\in S$;
• $f(1) = 1$.

A ring isomorphism is a homomorphism that happens to also be a bijection.

Wikidata ID: Q1194212

This site is open source. Improve this page.