graded group

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• Graded vector space — In mathematics, a graded vector space is a type of vector space that includes the extra structure of gradation, which is a decomposition of the vector space into a direct sum of vector subspaces. Contents 1 N graded vector spaces 2 General I… …   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

• Graded category — A graded category is a mathematical concept.If mathcal{A} is a category, then amathcal{A} graded categoryis a category mathcal{C} together with a functorF:mathcal{C} ightarrow mathcal{A}.Monoids and groups can be thought of categories with a… …   Wikipedia

• Group cohomology — This article is about homology and cohomology of a group. For homology or cohomology groups of a space or other object, see Homology (mathematics). In abstract algebra, homological algebra, algebraic topology and algebraic number theory, as well… …   Wikipedia

• group race — An elite group of races. Established in 1971 by racing organizations in Britain, France, Germany and Italy to classify select stakes races outside North America. Collectively called Pattern Races . Equivalent to North American graded races.… …   Equestrian sports dictionary

• graded race — Established in 1973 to classify select stakes races in North America, at the request of European racing authorities, who had set up group races two years earlier. Always denoted with Roman numerals I, II, or III. Capitalized when used in race… …   Equestrian sports dictionary

• graded school — ▪ education also called  grade school        an elementary or secondary school in which the instructional program is divided into school years, known as grades or forms. At the end of each academic year, pupils move from one grade to the next… …   Universalium

• Differential graded category — In mathematics, especially homological algebra, a differential graded category or DG category for short, is a category whose morphism sets are endowed with the additional structure of a differential graded Z module. In detail, this means that… …   Wikipedia

• Functionally graded material — In materials science functionally graded material (FGM) may be characterized by the variation in composition and structure gradually over volume, resulting in corresponding changes in the properties of the material. The materials can be designed… …   Wikipedia

• Coxeter group — In mathematics, a Coxeter group, named after H.S.M. Coxeter, is an abstract group that admits a formal description in terms of mirror symmetries. Indeed, the finite Coxeter groups are precisely the finite Euclidean reflection groups; the symmetry …   Wikipedia

• Formal group — In mathematics, a formal group law is (roughly speaking) a formal power series behaving as if it were the product of a Lie group. They were first defined in 1946 by S. Bochner. The term formal group sometimes means the same as formal group law,… …   Wikipedia