The stanley-reisner ideals of polygons as set-theoretic complete intersections

Margherita Barile; Naoki Terai

doi:10.1080/00927871003597634

The stanley-reisner ideals of polygons as set-theoretic complete intersections

Margherita Barile, Naoki Terai

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

6 Citations (Scopus)

Abstract

We show that the Stanley-Reisner ideal of the one-dimensional simplicial complex whose diagram is an n-gon is always a set-theoretic complete intersection in any positive characteristic.

Original language	English
Pages (from-to)	621-633
Number of pages	13
Journal	Communications in Algebra
Volume	39
Issue number	2
DOIs	https://doi.org/10.1080/00927871003597634
Publication status	Published - Feb 2011
Externally published	Yes

Keywords

Arithmetical rank
Monomial ideals
Set-theoretic complete intersections

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1080/00927871003597634

Cite this

@article{bc76c9f54fad4dbeb27d536941b043ac,

title = "The stanley-reisner ideals of polygons as set-theoretic complete intersections",

abstract = "We show that the Stanley-Reisner ideal of the one-dimensional simplicial complex whose diagram is an n-gon is always a set-theoretic complete intersection in any positive characteristic.",

keywords = "Arithmetical rank, Monomial ideals, Set-theoretic complete intersections",

author = "Margherita Barile and Naoki Terai",

year = "2011",

month = feb,

doi = "10.1080/00927871003597634",

language = "English",

volume = "39",

pages = "621--633",

journal = "Communications in Algebra",

issn = "0092-7872",

publisher = "Taylor and Francis Ltd.",

number = "2",

}

TY - JOUR

T1 - The stanley-reisner ideals of polygons as set-theoretic complete intersections

AU - Barile, Margherita

AU - Terai, Naoki

PY - 2011/2

Y1 - 2011/2

N2 - We show that the Stanley-Reisner ideal of the one-dimensional simplicial complex whose diagram is an n-gon is always a set-theoretic complete intersection in any positive characteristic.

AB - We show that the Stanley-Reisner ideal of the one-dimensional simplicial complex whose diagram is an n-gon is always a set-theoretic complete intersection in any positive characteristic.

KW - Arithmetical rank

KW - Monomial ideals

KW - Set-theoretic complete intersections

UR - http://www.scopus.com/inward/record.url?scp=79951982498&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79951982498&partnerID=8YFLogxK

U2 - 10.1080/00927871003597634

DO - 10.1080/00927871003597634

M3 - Article

AN - SCOPUS:79951982498

VL - 39

SP - 621

EP - 633

JO - Communications in Algebra

JF - Communications in Algebra

SN - 0092-7872

IS - 2

ER -

The stanley-reisner ideals of polygons as set-theoretic complete intersections

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this