injective

形容词 adj.
中文释义

英文释义

形容词 adj.
  1. 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 not-comparable
  2. 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. not-comparable
  3. 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. not-comparable
  4. Such that the objects (usually modules) involved in the resolution are injective (in the algebraic senses above). not-comparable

词汇关系

衍生词
injective cogenerator injective dimension injective function injective hull injectively injective map injective module injectiveness injective object injective patch injective sheaf injectivity noninjective selfinjective
相关词
injectal bijective surjective

词源

Etymology tree
French injectifbor.
English injective
Borrowed from French injectif.
0 次浏览 数据来源: Wiktionary