💡 Words with a Similar Meaning to "Zero morphism"
Found via reverse dictionary — words that share a conceptual meaning.
| Word | Definition |
|---|---|
| monomorphismnoun | (mathematics) an injective homomorphism |
| inversenoun | An inverted state: a state in which something has been turned (properly) upside down or (loosely) inside out or backwards. |
| diagonal morphismnoun | (category theory) 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. |
| cokernelnoun | (mathematics, category theory) The target of operatorname cokerf, denoted operatorname Cokerf. |
| universal morphismnoun | (category theory) 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. |
| discrete categorynoun | (category theory) A category whose morphisms are all identity morphisms. |
| epimorphismnoun | (category theory) A morphism p such that for any other pair of morphisms f and g, if f∘p=g∘p, then f = g. |
| comorphismnoun | (mathematics) A mapping associated with a morphism that, when applied to every member of the morphism, results in the same value as the morphism applied to the image of every member. |
| twist morphismnoun | (category theory) 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. |
| generalized elementnoun | (category theory) A morphism whose codomain is some specified object. |
| kernelnoun | The core, center, or essence of an object or system. |
| morphismnoun | (mathematics, category theory) (formally) An arrow in a category; (less formally) an abstraction that generalises a map from one mathematical object to another and is structure-preserving in a way that depends on the branch of mathematics from which it arises. |
| functornoun | (object-oriented programming) A function object. |
| split monomorphismnoun | (category theory) A morphism which has a left inverse. |
| identity functornoun | (category theory) A functor from a category to itself which maps each object of that category to itself and each morphism of that category to itself. |
| small categorynoun | (category theory) A category such that all of its objects form a set and all of its morphisms form a set. |
| morphism setnoun | (category theory) hom-set |
| natural transformationnoun | (category theory) A morphism between a pair of parallel functors such that if each object of the shared domain category subtends a correlated arrow — called a component — in the shared codomain (which arrow represents the difference between applying the second functor and the first functor to the correlated object) then each arrow of the shared domain subtends a commuting square — called a naturality square — between two components (correlated to the domain and codomain of the arrow). |
| full functornoun | (category theory) A functor which maps morphisms from its source to its target category in such a way that the restriction of that mapping to any source hom-set is surjective into the corresponding target hom-set. |
| overfunctornoun | (category theory) A morphism of an overcategory. |
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