graded product

graded product
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English-Russian dictionary of geology. 2011.

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  • Graded poset — In mathematics, a graded poset, sometimes called a ranked poset (but see the article for an alternative meaning), is a partially ordered set (poset) P equipped with a rank function rho; from P to N compatible with the ordering (so rho;( x ) lt;… …   Wikipedia

  • 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 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

  • Cup product — In mathematics, specifically in algebraic topology, the cup product is a method of adjoining two cocycles of degree p and q to form a composite cocycle of degree p + q. This defines an associative (and distributive) graded commutative product… …   Wikipedia

  • Differential graded algebra — In mathematics, in particular abstract algebra and topology, a differential graded algebra is a graded algebra with an added chain complex structure that respects the algebra structure. Contents 1 Definition 2 Examples of DGAs 3 Other facts about …   Wikipedia

  • Whitehead product — The Whitehead product is a graded quasi Lie algebra structure on the homotopy groups of a space. It was defined by J. H. C. Whitehead in an Annals of Mathematics paper from 1941. Given elements f in pi k(X), g in pi l(X), the Whitehead bracket :… …   Wikipedia

  • Massey product — The Massey product is an algebraic generalization of the phenomenon of Borromean rings. In algebraic topology, the Massey product is a cohomology operation of higher order introduced in (Massey 1958), which generalizes the cup product …   Wikipedia

  • Zappa-Szép product — In mathematics, especially group theory, the Zappa Szep product (also known as the knit product) describes a way in which a group can be constructed from two subgroups. It is a generalization of the direct and semidirect products.Internal Zappa… …   Wikipedia

  • Star product — In mathematics, the star product of two graded posets (P,le P) and (Q,le Q), where P has a unique maximal element widehat{1} and Q has a unique minimal element widehat{0}, is a poset P*Q on the set (Psetminuswidehat{1})cup(Qsetminuswidehat{0}).… …   Wikipedia

  • Exterior algebra — In mathematics, the exterior product or wedge product of vectors is an algebraic construction generalizing certain features of the cross product to higher dimensions. Like the cross product, and the scalar triple product, the exterior product of… …   Wikipedia

  • Maple syrup — Bottled maple syrup Maple syrup is a syrup usually made from the xylem sap of sugar maple, red maple, or black maple trees, although it can also be made from other maple species such as the bigleaf maple. In cold climates, these trees store… …   Wikipedia


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