Arithmetical rank of lexsegment edge ideals

Viviana Ene; Oana Olteanu; Naoki Terai

Arithmetical rank of lexsegment edge ideals

Viviana Ene, Oana Olteanu, Naoki Terai

Research output: Contribution to journal › Article › peer-review

Abstract

Let I ⊂ S = K[x₁,...,x_n] be a lexsegment edge ideal or the Alexander dual of such an ideal. In both cases it turns out that the arithmetical rank of I is equal to the projective dimension of S/I.

Original language	English
Pages (from-to)	315-327
Number of pages	13
Journal	Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie
Volume	53
Issue number	4
Publication status	Published - 2010
Externally published	Yes

Keywords

Alexander dual
Arithmetical rank
Edge ideals
Projective dimension
Regularity
Squarefree lexsegment ideals

ASJC Scopus subject areas

Mathematics(all)

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title = "Arithmetical rank of lexsegment edge ideals",

abstract = "Let I ⊂ S = K[x1,...,xn] be a lexsegment edge ideal or the Alexander dual of such an ideal. In both cases it turns out that the arithmetical rank of I is equal to the projective dimension of S/I.",

keywords = "Alexander dual, Arithmetical rank, Edge ideals, Projective dimension, Regularity, Squarefree lexsegment ideals",

author = "Viviana Ene and Oana Olteanu and Naoki Terai",

year = "2010",

language = "English",

volume = "53",

pages = "315--327",

journal = "Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie",

issn = "1220-3874",

publisher = "Societatea de Stiinte Matematice din Romania",

number = "4",

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T1 - Arithmetical rank of lexsegment edge ideals

AU - Ene, Viviana

AU - Olteanu, Oana

AU - Terai, Naoki

PY - 2010

Y1 - 2010

N2 - Let I ⊂ S = K[x1,...,xn] be a lexsegment edge ideal or the Alexander dual of such an ideal. In both cases it turns out that the arithmetical rank of I is equal to the projective dimension of S/I.

AB - Let I ⊂ S = K[x1,...,xn] be a lexsegment edge ideal or the Alexander dual of such an ideal. In both cases it turns out that the arithmetical rank of I is equal to the projective dimension of S/I.

KW - Alexander dual

KW - Arithmetical rank

KW - Edge ideals

KW - Projective dimension

KW - Regularity

KW - Squarefree lexsegment ideals

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EP - 327

JO - Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie

JF - Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie

SN - 1220-3874

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