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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 wikiPageRevisionID "529848183".
- Irrelevant_ideal hasPhotoCollection Irrelevant_ideal.
- Irrelevant_ideal subject Category:Algebraic_geometry.
- Irrelevant_ideal subject Category:Commutative_algebra.
- 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 m.0806mnv.
- Irrelevant_ideal sameAs Q6073624.
- Irrelevant_ideal sameAs Q6073624.
- Irrelevant_ideal wasDerivedFrom Irrelevant_ideal?oldid=529848183.
- Irrelevant_ideal isPrimaryTopicOf Irrelevant_ideal.