graded group

  • 1Graded 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… …

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  • 2Graded 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… …

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  • 3Graded 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… …

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  • 4Group 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… …

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  • 5group 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

  • 6graded 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

  • 7graded 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… …

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  • 8Differential 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… …

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  • 9Functionally 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… …

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  • 10Coxeter 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 …

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