- projective dimension
- мат.проективная размерность
English-Russian scientific dictionary. 2008.
projective dimension
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Projective module — In mathematics, particularly in abstract algebra and homological algebra, the concept of projective module over a ring R is a more flexible generalisation of the idea of a free module (that is, a module with basis vectors). Various equivalent… … Wikipedia
Projective geometry — is a non metrical form of geometry, notable for its principle of duality. Projective geometry grew out of the principles of perspective art established during the Renaissance period, and was first systematically developed by Desargues in the 17th … Wikipedia
Projective space — In mathematics a projective space is a set of elements constructed from a vector space such that a distinct element of the projective space consists of all non zero vectors which are equal up to a multiplication by a non zero scalar. A formal… … Wikipedia
Projective line — In mathematics, a projective line is a one dimensional projective space. The projective line over a field K , denoted P1( K ), may be defined as the set of one dimensional subspaces of the two dimensional vector space K 2 (it does carry other… … Wikipedia
Projective plane — See real projective plane and complex projective plane, for the cases met as manifolds of respective dimension 2 and 4 In mathematics, a projective plane has two possible definitions, one of them coming from linear algebra, and another (which is… … Wikipedia
Projective linear group — In mathematics, especially in area of algebra called group theory, the projective linear group (also known as the projective general linear group) is one of the fundamental groups of study, part of the so called classical groups. The projective… … Wikipedia
Projective frame — In the mathematical field of projective geometry, a projective frame is an ordered collection of points in projective space which can be used as reference points to describe any other point in that space. For example: * Given three distinct… … Wikipedia
Dimension — 0d redirects here. For 0D, see 0d (disambiguation). For other uses, see Dimension (disambiguation). From left to right, the square, the cube, and the tesseract. The square is bounded by 1 dimensional lines, the cube by 2 dimensional areas, and… … Wikipedia
Global dimension — In ring theory and homological algebra, the global dimension (or global homological dimension; sometimes just called homological dimension) of a ring A denoted gl dim A , is a non negative integer or infinity which is a homological invariant of… … Wikipedia
Homological dimension — refers to a number of related concepts in homological algebra: * Global dimension, the homological dimension of a ring * Projective dimension, the homological dimension of a module * Injective dimension, the dual notion * Cohomological dimension … Wikipedia
Geometrie projective — Géométrie projective La géométrie projective est le domaine des mathématiques qui modélise les notions intuitives de perspective et d horizon. Elle étudie les propriétés des figures inchangées par projection. Sommaire 1 Considérations historiques … Wikipédia en Français
