homomorphism
/ˌhoʊməˈmɔrfɪzəm/
noun
- A structure-preserving map between two algebraic structures (e.g., groups, rings) in mathematics.
- The professor explained how a group homomorphism preserves the group operation.
- In abstract algebra, a homomorphism is a function that respects the algebraic structure.
- The students learned that a ring homomorphism must preserve both addition and multiplication.
- A correspondence or similarity in form or structure between different things.
- There is a homomorphism between the two languages' grammatical structures.
- The architect saw a homomorphism between the building's layout and a medieval castle.
- The biologist noted a homomorphism in the wing patterns of different butterfly species.