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- Irrelevant_ideal abstract "In mathematics, the irrelevant ideal is the ideal of a graded ring generated by the homogeneous elements of degree greater than zero. More generally, a homogeneous ideal of a graded ring is called an irrelevant ideal if its radical contains the irrelevant ideal.The terminology arises from the connection with algebraic geometry. If R = k[x0, ..., xn] (a multivariate polynomial ring in n+1 variables over an algebraically closed field k) graded with respect to degree, there is a bijective correspondence between projective algebraic sets in projective n-space over k and homogeneous, radical ideals of R not equal to the irrelevant ideal. More generally, for an arbitrary graded ring R, the Proj construction disregards all irrelevant ideals of R.".
- Irrelevant_ideal wikiPageID "24621384".
- Irrelevant_ideal wikiPageLength "1985".
- Irrelevant_ideal wikiPageOutDegree "21".
- Irrelevant_ideal wikiPageRevisionID "529848183".
- Irrelevant_ideal wikiPageWikiLink Algebraic_geometry.
- Irrelevant_ideal wikiPageWikiLink Algebraic_variety.
- Irrelevant_ideal wikiPageWikiLink Algebraically_closed_field.
- Irrelevant_ideal wikiPageWikiLink Bijection.
- Irrelevant_ideal wikiPageWikiLink Category:Algebraic_geometry.
- Irrelevant_ideal wikiPageWikiLink Category:Commutative_algebra.
- Irrelevant_ideal wikiPageWikiLink Degree_of_a_polynomial.
- Irrelevant_ideal wikiPageWikiLink Graded_ring.
- Irrelevant_ideal wikiPageWikiLink Graduate_Texts_in_Mathematics.
- Irrelevant_ideal wikiPageWikiLink Ideal_(ring_theory).
- Irrelevant_ideal wikiPageWikiLink Mathematics.
- Irrelevant_ideal wikiPageWikiLink Polynomial_ring.
- Irrelevant_ideal wikiPageWikiLink Proj_construction.
- Irrelevant_ideal wikiPageWikiLink Projective_space.
- Irrelevant_ideal wikiPageWikiLink Radical_of_an_ideal.
- Irrelevant_ideal wikiPageWikiLink Springer_Science+Business_Media.
- Irrelevant_ideal wikiPageWikiLinkText "Irrelevant ideal".
- Irrelevant_ideal wikiPageWikiLinkText "irrelevant ideal".
- Irrelevant_ideal wikiPageUsesTemplate Template:Citation.
- Irrelevant_ideal wikiPageUsesTemplate Template:Hartshorne_AG.
- Irrelevant_ideal wikiPageUsesTemplate Template:Reflist.
- Irrelevant_ideal subject Category:Algebraic_geometry.
- Irrelevant_ideal subject Category:Commutative_algebra.
- Irrelevant_ideal hypernym Ideal.
- Irrelevant_ideal comment "In mathematics, the irrelevant ideal is the ideal of a graded ring generated by the homogeneous elements of degree greater than zero. More generally, a homogeneous ideal of a graded ring is called an irrelevant ideal if its radical contains the irrelevant ideal.The terminology arises from the connection with algebraic geometry.".
- Irrelevant_ideal label "Irrelevant ideal".
- Irrelevant_ideal sameAs Q6073624.
- Irrelevant_ideal sameAs m.0806mnv.
- Irrelevant_ideal sameAs Q6073624.
- Irrelevant_ideal wasDerivedFrom Irrelevant_ideal?oldid=529848183.
- Irrelevant_ideal isPrimaryTopicOf Irrelevant_ideal.