Phrase Hound found 8 phrases and 33 compound words that contain morphisms. The most common are listed below. Open morphisms in the live search for definitions, filters, and the full list.
Phrases 8
- diagonal morphismsplural of diagonal morphism: A morphism from an object to the product of that object with itself, which morphism is induced by a pair of identity morphisms of the said object.
- zero morphismsplural of zero morphism: A morphism which is both a constant morphism and a coconstant morphism.
- classifying morphismsplural of classifying morphism: A morphism from an object to the subobject classifier which corresponds to a unique subobject of the said object, which subobject is the pullback, along this morphism, of the "true" global element of the …
- constant morphismsplural of constant morphism: A morphism which yields the same morphism when post-composed with either one of a parallel pair of morphisms.
- identity morphismsplural of identity morphism: A unique morphism corresponding to each object of a category, which has its domain equal to its codomain, and which composed with any morphism (with which it is composable) gives that same morphism.
- twist morphismsplural of twist morphism: An isomorphism between a pair of products which have the same components but in swapped order, which isomorphism commutes with the two associated product diagrams.
- universal morphismsplural of universal morphism: The terminal object of a comma category from a functor to a fixed object; or, dually, the initial object of a comma category from a fixed object to a functor.
- coconstant morphismsplural of coconstant morphism: A morphism which yields the same morphism when pre-composed with either one of a parallel pair of morphisms.
Compound words 33
- polymorphismsplural of polymorphism: The ability to assume different forms or shapes.
- automorphismsplural of automorphism: An isomorphism of a mathematical object or system of objects onto itself.
- homomorphismsplural of homomorphism: A structure-preserving map between two algebraic structures of the same type, such as groups, rings, or vector spaces.
- isomorphismsplural of isomorphism: Similarity of form
- endomorphismsplural of endomorphism: The assimilation of surrounding rock by an intrusive igneous rock.
- orthomorphismsplural of orthomorphism: A morphism that is also a permutation
- allomorphismsplural of allomorphism: The property of a compound which has more than one crystalline form or allomorph.
- anamorphismsplural of anamorphism: A generalization of the list-producing unfolds known from functional programming to arbitrary abstract data types that can be described as final coalgebras.
- antimorphismsplural of antimorphism: An isomorphism of a mathematical object or system of objects such that the image of a product of two values is the same as the product of the images of the two values in reverse order.
- apomorphismsplural of apomorphism: The dual of a paramorphism