noun
- structure-preserving mappings between two algebraic structures of the same type
Usage: mathematics; algebra
Examples
- The professor explained how homomorphisms preserve the operations of groups.
- Ring homomorphisms must preserve both addition and multiplication.
- Students studied various homomorphisms between vector spaces.
- The kernel of a homomorphism is always a normal subgroup.
- Isomorphisms are special cases of homomorphisms that are bijective.
- Graph homomorphisms preserve adjacency relationships between vertices.