homomorphism
What is another word for homomorphism? Here is its meaning, with related words and examples.
Noun — In algebra, a map between two structures of the same kind, such as groups or rings, that preserves how their operations work.
We haven't recorded synonyms for homomorphism yet. You can still read its full definition, where it comes from, or words that rhyme with it.
How to use homomorphism
The word patterns that sound natural to a native speaker.
group homomorphism
ring homomorphism
structure-preserving map
algebra homomorphism
Homomorphism is a specialist term, used mainly in mathematics and, separately, in biology.
Etymology
Homomorphism is formed by combining homo-, meaning 'same', with morphism, a term for a structure-preserving map.
Full origin of homomorphism →Frequently asked questions
What does homomorphism mean in maths?
It's a map between two algebraic structures, such as groups or rings, that preserves the way their operations work.
Is a homomorphism the same as an isomorphism?
Not quite: an isomorphism is a homomorphism that can also be reversed, so every isomorphism is a homomorphism but not every homomorphism is an isomorphism.
What does homomorphism mean in biology?
It refers to two organisms or structures that look alike even though they are not closely related, such as the similar shapes of fish and whales.
