projective

An assessment test that presents subjects with some sort of stimulus to which they react by projecting or imagining details.

A projective member of a category.

A statement about a conditional or potential state of affairs, as opposed to one about a situation that actually exists or existed.

projecting outward

of, relating to, or caused by a projection

Of or related to projective geometry:

Invariant under projective transformations.

Of or related to projective geometry:

Defined in or inhabiting a projective space.

In a technical sense, general (but not necessarily so general as to be free); involving such objects:

Such that there is another (left) R-module N with M⊕N a free R-module. Equivalently, projective in the category of modules (see below).

In a technical sense, general (but not necessarily so general as to be free); involving such objects:

Such that, given an epimorphism e:E→X and morphism f:P→X, f factors through e; that is, there exists a morphism ̃f:P→E with e∘̃f=f.

In a technical sense, general (but not necessarily so general as to be free); involving such objects:

Such that every epimorphism from a profinite group onto G has a right inverse which is a homomorphism.

In a technical sense, general (but not necessarily so general as to be free); involving such objects:

Such that every object in the resolution is projective.