injective
Of, relating to, or being an injection: such that each element of the image is…Of, relating to, or being an injection: such that each element of the image (or range) is associated with at most one element of the preimage (or domain); inverse-deterministic
» In algebra a monomorphism is an injective homomorphism.
In der Algebra ist ein Monomorphismus ein injektiver Homomorphismus.
В алгебре мономорфизм — это инъективный гомоморфизм.
В алгебрі мономорфізм - це ін'єктивний гомоморфізм.
Значение
значений: 4(без степеней сравнения)Of, relating to, or being an injection: such that each element of the image (or range) is associated with at most one element of the preimage (or domain); inverse-deterministic
injektiv
инъекти́вныйinʺjektívnyj
(без степеней сравнения)Loosely, having a certain generalizing property, abstracted from the study of ℚ as a ℤ-module. Formally, such that any short exact sequence of (left) R-modules beginning with M splits, or any of several equivalent statements: See Injective module.
(без степеней сравнения)Loosely, having a property analogous to that which characterizes injective modules (see above). Formally, such that, given a monomorphism f:X→Y in C, for every morphism g:X→Q there exists a morphism h:Y→Q such that h∘f=g; see Injective object.
(без степеней сравнения)Such that the objects (usually modules) involved in the resolution are injective (in the algebraic senses above).
Примеры
предложений: 1In algebra a monomorphism is an injective homomorphism.
В алгебре мономорфизм — это инъективный гомоморфизм.
ukВ алгебрі мономорфізм - це ін'єктивний гомоморфізм.
deIn der Algebra ist ein Monomorphismus ein injektiver Homomorphismus.
Переводы
языков: 6По значениям 1
По значениям 1
Происхождение
Borrowed from French injectif.Borrowed from French injectif.
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