2CATALINCIUPERCATheorem0.2.Let(A;m)bead-dimensionallocalringwithin - PDF document

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Uploaded On 2016-04-29

2CATALINCIUPERCATheorem0.2.Let(A;m)bead-dimensionallocalringwithin - PPT Presentation

a1ador2m2mxa1ad1andIxi1a1ad1zforsomeelementz2xa1ad1Alsoanyidealoftype1isintegrallyclosedInparticularifthereductionnumberrmisatleast2forexampleahyper ID: 298442

(a1;:::;ad) or(2)m2=m(x;a1;:::;ad1)andI=(xi+1;a1;:::;ad1;z) forsomeelementz2(x;a1;:::;ad1).Also anyidealoftype(1)isintegrallyclosed.Inparticular ifthereductionnumberr(m)isatleast2(forexample ahyper

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