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flat module

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  • Flat module — In abstract algebra, a flat module over a ring R is an R module M such that taking the tensor product over R with M preserves exact sequences.Vector spaces over a field are flat modules. Free modules, or more generally projective modules, are… …   Wikipedia

  • Flat topology — In mathematics, the flat topology is a Grothendieck topology used in algebraic geometry. It is used to define the theory of flat cohomology; it also has played a fundamental role in the theory of descent (faithfully flat descent). [… …   Wikipedia

  • Module (mathematics) — For other uses, see Module (disambiguation). In abstract algebra, the concept of a module over a ring is a generalization of the notion of vector space, wherein the corresponding scalars are allowed to lie in an arbitrary ring. Modules also… …   Wikipedia

  • Module de skatepark — Modules de skatepark Cette page présente une liste détaillée des modules de skatepark existants, adaptés à la pratique du skateboard ou du roller agressif. Sommaire 1 Flat 2 Rampes 3 Bowls 4 Autre …   Wikipédia en Français

  • Flat Holm — Infobox Islands name = Flat Holm image caption = image size = 240px locator map custom = no native name = Ynys Echni native name link = nickname = location = Bristol Channel coordinates = coord|51.37687| 3.12207|type:landmark… …   Wikipedia

  • Flat map — The flat map in differential geometry is a name for the mapping that converts coordinate basis vectors into corresponding coordinate 1 forms.A flat map in ring theory is homomorphism f from a ring R to a ring S if S becomes a flat R module when… …   Wikipedia

  • flat-plate PV —   Refers to a PV array or module that consists of nonconcentrating elements. Flat plate arrays and modules use direct and diffuse sunlight, but if the array is fixed in position, some portion of the direct sunlight is lost because of oblique sun… …   Energy terms

  • Flat-Plate Solar Photovoltaic Module —   An arrangement of photovoltaic cells or material mounted on a rigid flat surface with the cells exposed freely to incoming sunlight …   Energy terms

  • Injective module — In mathematics, especially in the area of abstract algebra known as module theory, an injective module is a module Q that shares certain desirable properties with the Z module Q of all rational numbers. Specifically, if Q is a submodule of some… …   Wikipedia

  • 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

  • Finitely-generated module — In mathematics, a finitely generated module is a module that has a finite generating set. A finitely generated R module also may be called a finite R module or finite over R.[1] Related concepts include finitely cogenerated modules, finitely… …   Wikipedia

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