morphism
2 synonyms for morphism, grouped by meaning and by how common each one is.
Noun — A structure-preserving map from one mathematical object to another, treated in category theory as an arrow between objects.
Synonyms
Everyday swaps
Common words most readers know — safe in any writing.
Less common
Still standard English, but they carry more weight.
How to use morphism
The word patterns that sound natural to a native speaker.
morphism of groups
composition of morphisms
identity morphism
It is a technical term used almost entirely in mathematics.
Etymology
Generalised from terms such as isomorphism.
Full origin of morphism →Frequently asked questions
What is a morphism in maths?
A morphism is an arrow between two objects in a category. Informally, it is a map from one mathematical object to another that preserves structure.
What is the difference between a morphism and a homomorphism?
The two words are largely interchangeable. Morphism is used almost exclusively in category theory, while homomorphism is more common in algebra.
How do you pronounce morphism?
In British English it is said roughly MOR-fiz-um, with the stress on the first syllable.
