Ideals Whose First Two Betti Numbers Are Close-Reference-Cited by-同舟云学术

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Ideals Whose First Two Betti Numbers Are Close

Published:2015-10 Issue:04 Volume:22 Page:671-676
ISSN:1005-3867
Container-title:Algebra Colloquium
language:en
Short-container-title:Algebra Colloq.

Author:

Borna Keivan¹²,Hassanzadeh S. H.¹³

Affiliation:

1. Faculty of Mathematical Sciences and Computer, Kharazmi University, Tehran, Iran

2. School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran

3. Institute of Mathematics, Universidade Federal de Rio de Janeiro, Brasil

Abstract

For an ideal I of a Noetherian local ring [Formula: see text] one has [Formula: see text]. It is demonstrated that some residual intersections of an ideal I for which [Formula: see text] or 0 are perfect.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1005386715000565

Reference5 articles.

1. Residual intersections in Cohen-Macauley rings

2. Order ideals and a generalized Krull height theorem

3. On the Factoriality of Local Rings of Small Embedding Codimension

4. Ideals with sliding depth

5. Strongly Cohen-Macaulay schemes and residual intersections

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