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Ideals Whose First Two Betti Numbers Are Close

Ideals Whose First Two Betti Numbers Are Close
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摘要 For an ideal I of a Noetherian local ring (R, m, k) one hasβR1(I) -β0R(I) ≥-1. It is demonstrated that some residual intersections of an ideal I for whichβ1R(I) -β0R(I) = -1 or 0 are perfect. For an ideal I of a Noetherian local ring (R, m, k) one hasβR1(I) -β0R(I) ≥-1. It is demonstrated that some residual intersections of an ideal I for whichβ1R(I) -β0R(I) = -1 or 0 are perfect.
出处 《Algebra Colloquium》 SCIE CSCD 2015年第4期671-676,共6页 代数集刊(英文版)
关键词 Betti numbers linlkage theory perfect Gorenstein ideals residual intersection Betti numbers, linlkage theory, perfect Gorenstein ideals, residual intersection
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