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• Irreducible_component abstract "In mathematics, and specifically in algebraic geometry, the concept of irreducible component is used to make formal the idea that a set such as defined by the equationXY = 0is the union of the two linesX = 0and Y = 0.Thus an algebraic set is irreducible if it is not the union of two proper algebraic subsets. It is a fundamental theorem of classical algebraic geometry that every algebraic set is the union of a finite number of irreducible algebraic subsets (varieties) and that this decomposition is unique if one removes those subsets that are contained in another one. The elements of this unique decomposition are called irreducible components.This notion may be reformulated in topological terms, using Zariski topology, for which the closed sets are the subvarieties: an algebraic set is irreducible if it is not the union of two proper subsets that are closed for Zariski topology. This allows a generalization in topology, and, through it, to general schemes for which the above property of finite decomposition is not necessarily true.".
• Irreducible_component wikiPageID "2652476".
• Irreducible_component wikiPageRevisionID "594510167".
• Irreducible_component hasPhotoCollection Irreducible_component.
• Irreducible_component id "1109".
• Irreducible_component id "3107".
• Irreducible_component title "Irreducible component".
• Irreducible_component title "irreducible".
• Irreducible_component subject Category:Algebraic_geometry.
• Irreducible_component subject Category:Algebraic_varieties.
• Irreducible_component subject Category:General_topology.
• Irreducible_component type Abstraction100002137.
• Irreducible_component type AlgebraicVarieties.
• Irreducible_component type Assortment108398773.
• Irreducible_component type Collection107951464.
• Irreducible_component type Group100031264.
• Irreducible_component comment "In mathematics, and specifically in algebraic geometry, the concept of irreducible component is used to make formal the idea that a set such as defined by the equationXY = 0is the union of the two linesX = 0and Y = 0.Thus an algebraic set is irreducible if it is not the union of two proper algebraic subsets.".
• Irreducible_component label "Irreducible component".
• Irreducible_component label "Irreduzible Varietät".
• Irreducible_component sameAs Irreduzible_Varietät.
• Irreducible_component sameAs m.07vjsf.
• Irreducible_component sameAs Q6073574.
• Irreducible_component sameAs Q6073574.
• Irreducible_component sameAs Irreducible_component.
• Irreducible_component wasDerivedFrom Irreducible_component?oldid=594510167.
• Irreducible_component isPrimaryTopicOf Irreducible_component.