category theory, the notion of a projective object generalizes the notion of a projective module. Projective objects in abelian categories are used in...

the theory of model categories. The dual notion is that of a projective object. 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...

The Lumpy Money Project/Object is a compilation album by Frank Zappa. Released posthumously on January 23, 2009 as Official Release #85, it compiles the...

a category and X an object in C {\displaystyle {\mathcal {C}}} . A projective cover is a pair (P,p), with P a projective object in C {\displaystyle {\mathcal...

The MOFO Project/Object is an album by Frank Zappa. The album was announced by the Zappa Family Trust in mid-2006. It commemorates the 40th anniversary...

celebrate the 40th anniversary of his album Apostrophe ('). It is the fourth project in a series of 40th Anniversary FZ Audio Documentaries, following MOFO...

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...

career. Zappa's output is unified by a conceptual continuity he termed "Project/Object", with numerous musical phrases, ideas and characters reappearing throughout...

Thus, by definition, projective modules are precisely the projective objects in the category of R-modules. A module P is projective if and only if every...

variety Projective linear group Projective module Projective line Projective object Projective transformation Projective hierarchy Projective connection...

four functions that projective identification may serve. As in the traditional Kleinian model, it serves as a defense. Projective identification serves...

In mathematics, projective geometry is the study of geometric properties that are invariant with respect to projective transformations. This means that...

In algebraic geometry, a projective variety is an algebraic variety that is a closed subvariety of a projective space. That is, it is the zero-locus in...

aforementioned tasks. A Project Object Model (POM) provides all the configuration for a single project. General configuration covers the project's name, its owner...

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...

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...

resolutions, projective resolutions and flat resolutions, which are left resolutions consisting, respectively of free modules, projective modules or flat...

assertion that 1 {\displaystyle \mathbf {1} } is an indecomposable projective object—the functor it represents (the global-section functor) preserves epimorphisms...

free abelian group is projective. Baer's criterion: Every divisible abelian group is injective. Every set is a projective object in the category Set of...

A digital object identifier (DOI) is a persistent identifier or handle used to uniquely identify various objects, standardized by the International Organization...

{\displaystyle P} is a projective object), then one can define analogously the left-derived functors L i G {\displaystyle L_{i}G} . For an object X {\displaystyle...

whose second map B → C is surjective. Equivalently, a monad is a projective object together with a 3-step filtration B ⊃ ker(B → C) ⊃ im(A → B). In practice...

enough injectives and enough projectives and such that the class of injective objects coincides with that of projective objects. Fukaya category See Fukaya...

planar projective geometry, in which the relationships between objects are not considered to change under projective transformations. The name projective comes...

An interstellar object is an astronomical object in interstellar space that is not gravitationally bound to a star. Applicable objects include asteroids...

that A has enough projectives, i.e. for every object X there is an epimorphism from a projective object P to X, one can use projective resolutions instead...

is an injective object in Set. Every set is a projective object in Set (assuming the axiom of choice). The finitely presentable objects in Set are the...

duality and beyond that to duality in any finite-dimensional projective geometry. A projective plane C may be defined axiomatically as an incidence structure...

In projective geometry, a homography is an isomorphism of projective spaces, induced by an isomorphism of the vector spaces from which the projective spaces...