- homogeneous ring
- мат.однородное кольцо
English-Russian scientific dictionary. 2008.
homogeneous ring
Смотреть что такое "homogeneous ring" в других словарях:
Homogeneous coordinate ring — In algebraic geometry, the homogeneous coordinate ring R of an algebraic variety V given as a subvariety of projective space of a given dimension N is by definition the quotient ring R = K[X0, X1, X2, ..., XN]/I where I is the homogeneous ideal… … Wikipedia
Homogeneous coordinates — In mathematics, homogeneous coordinates, introduced by August Ferdinand Möbius in his 1827 work Der barycentrische Calcul [ [http://www history.mcs.st andrews.ac.uk/Biographies/Mobius.html Mobius biography ] ] , allow affine transformations to be … Wikipedia
Homogeneous polynomial — In mathematics, a homogeneous polynomial is a polynomial whose terms are monomials all having the same total degree; or are elements of the same dimension. For example, x^5 + 2 x^3 y^2 + 9 x^1 y^4 is a homogeneous polynomial of degree 5, in two… … Wikipedia
Homogeneous (mathematics) — In mathematics, homogeneous may refer to:*Homogeneous polynomial, in algebra *Homogeneous function *Homogeneous equation, in particular: Homogeneous differential equation *Homogeneous system of linear equations, in linear algebra *Homogeneous… … Wikipedia
Complete homogeneous symmetric polynomial — In mathematics, specifically in algebraic combinatorics and commutative algebra, the complete homogeneous symmetric polynomials are a specific kind of symmetric polynomials. Every symmetric polynomial can be expressed as a polynomial expression… … Wikipedia
Inversive ring geometry — In mathematics, inversive ring geometry is the extension to the context of associative rings, of the concepts of projective line, homogeneous coordinates, projective transformations, and cross ratio, concepts usually built upon rings that happen… … Wikipedia
Representation ring — In mathematics, especially in the area of algebra known as representation theory, the representation ring of a group is a ring formed from all the (isomorphism classes of the) linear representations of the group. For a given group, the ring will… … Wikipedia
Bishop's Ring — A Bishop s Ring is a diffuse brown or bluish halo observed around the sun in the presence of large amounts of dust in the stratosphere. It is typically observed after large volcanic eruptions. The first recorded observation of a Bishop s Ring was … Wikipedia
Lie ring — In mathematics a Lie ring is a structure related to Lie algebras that can arise as a generalisation of Lie algebras, or through the study of the lower central series of groups. Formal definition A Lie ring is defined as a nonassociative ring with … Wikipedia
Graded algebra — In mathematics, in particular abstract algebra, a graded algebra is an algebra over a field (or commutative ring) with an extra piece of structure, known as a gradation (or grading ). Graded rings A graded ring A is a ring that has a direct sum… … 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
