Definiciones
1.Adjectiveprojecting outward
2.Adjectiveof, relating to, or caused by a projection
3.AdjectiveOf or related to projective geometry:
Invariant under projective transformations.
Defined in or inhabiting a projective space.
4.AdjectiveInvariant under projective transformations.
5.AdjectiveDefined in or inhabiting a projective space.
6.AdjectiveIn a technical sense, general (but not necessarily so general as to be free); involving such objects:
Such that there is another (left)
R
{\displaystyle R}
-module
N
{\displaystyle N}
with
M
⊕
N
{\displaystyle M\oplus N}
a free
R
{\displaystyle R}
-module. Equivalently, projective in the category of modules (see below).
Such that, given an epimorphism
e
:
E
→
X
{\displaystyle e:E\to X}
and morphism
f
:
P
→
X
{\displaystyle f:P\to X}
,
f
{\displaystyle f}
factors through
e
{\displaystyle e}
; that is, there exists a morphism
f
~
:
P
→
E
{\displaystyle {\tilde {f}}:P\to E}
with
e
∘
f
~
=
f
{\displaystyle e\circ {\tilde {f}}=f}
.
Such that every epimorphism from a profinite group onto
G
{\displaystyle G}
has a right inverse which is a homomorphism.
Such that every object in the resolution is projective.
7.AdjectiveSuch that there is another (left)
R
{\displaystyle R}
-module
N
{\displaystyle N}
with
M
⊕
N
{\displaystyle M\oplus N}
a free
R
{\displaystyle R}
-module. Equivalently, projective in the category of modules (see below).
8.AdjectiveSuch that, given an epimorphism
e
:
E
→
X
{\displaystyle e:E\to X}
and morphism
f
:
P
→
X
{\displaystyle f:P\to X}
,
f
{\displaystyle f}
factors through
e
{\displaystyle e}
; that is, there exists a morphism
f
~
:
P
→
E
{\displaystyle {\tilde {f}}:P\to E}
with
e
∘
f
~
=
f
{\displaystyle e\circ {\tilde {f}}=f}
.
9.AdjectiveSuch that every epimorphism from a profinite group onto
G
{\displaystyle G}
has a right inverse which is a homomorphism.
10.AdjectiveSuch that every object in the resolution is projective.
11.NounAn assessment test that presents subjects with some sort of stimulus to which they react by projecting or imagining details.
12.NounA projective member of a category.
13.NounA statement about a conditional or potential state of affairs, as opposed to one about a situation that actually exists or existed.