In category theory, the notion of a projective object generalizes the notion of a projective module. Projective objects in abelian categories are used in homological algebra. The dual notion of a projective object is that of an injective object.
category theory, the notion of a projectiveobject generalizes the notion of a projective module. Projectiveobjects in abelian categories are used in...
a category and X an object in C {\displaystyle {\mathcal {C}}} . A projective cover is a pair (P,p), with P a projectiveobject in C {\displaystyle {\mathcal...
the theory of model categories. The dual notion is that of a projectiveobject. An object Q {\displaystyle Q} in a category C {\displaystyle \mathbf {C}...
Projective identification is a term introduced by Melanie Klein and then widely adopted in psychoanalytic psychotherapy. Projective identification may...
Look up projection, projecting, projective, or projector in Wiktionary, the free dictionary. Projection, projections or projective may refer to: Projection...
career. Zappa's output is unified by a conceptual continuity he termed "Project/Object", with numerous musical phrases, ideas, and characters reappearing across...
concept of a projective space originated from the visual effect of perspective, where parallel lines seem to meet at infinity. A projective space may thus...
In mathematics, projective geometry is the study of geometric properties that are invariant with respect to projective transformations. This means that...
Thus, by definition, projective modules are precisely the projectiveobjects in the category of R-modules. A module P is projective if and only if every...
In algebraic geometry, a projective variety over an algebraically closed field k is a subset of some projective n-space P n {\displaystyle \mathbb {P}...
the complex projective plane, and finite, such as the Fano plane. A projective plane is a 2-dimensional projective space. Not all projective planes can...
properties free, projective, flat, and torsion-free are equivalent. See local ring, perfect ring and Dedekind ring. Free objectProjectiveobject free presentation...
variety Projective linear group Projective module Projective line ProjectiveobjectProjective transformation Projective hierarchy Projective connection...
celebrate the 40th anniversary of his album Apostrophe ('). It is the fourth project in a series of 40th Anniversary FZ Audio Documentaries, following MOFO...
In projective geometry, a homography is an isomorphism of projective spaces, induced by an isomorphism of the vector spaces from which the projective spaces...
four functions that projective identification may serve. As in the traditional Kleinian model, it serves as a defense. Projective identification serves...
category A has enough projectives (i.e. for every object A of A there exists an epimorphism P → A where P is a projectiveobject), then one can define...
aforementioned tasks. A ProjectObject Model (POM) provides all the configuration for a single project. General configuration covers the project's name, its owner...
called a projective algebraic set if V = Z(S) for some S.: 9 An irreducible projective algebraic set is called a projective variety.: 10 Projective varieties...
is an injective object in Set. Every set is a projectiveobject in Set (assuming the axiom of choice). The finitely presentable objects in Set are the...
that A has enough projectives, i.e. for every object X there is an epimorphism from a projectiveobject P to X, one can use projective resolutions instead...
free abelian group is projective. Baer's criterion: Every divisible abelian group is injective. Every set is a projectiveobject in the category Set of...
JSON (JavaScript Object Notation, pronounced /ˈdʒeɪsən/ or /ˈdʒeɪˌsɒn/) is an open standard file format and data interchange format that uses human-readable...
dimension of the projective space being considered. For example, two homogeneous coordinates are required to specify a point on the projective line and three...