Schmitt-Vogel type lemma for reductions

Kyouko Kimura; Naoki Terai; Ken ichi Yoshida

doi:10.1007/s00013-011-0256-z

Schmitt-Vogel type lemma for reductions

Kyouko Kimura, Naoki Terai, Ken ichi Yoshida

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

Abstract

The lemma given by Schmitt and Vogel is an important tool in the study of the arithmetical rank of squarefree monomial ideals. In this paper, we give a Schmitt-Vogel type lemma for reductions as an analogous result.

Original language	English
Pages (from-to)	535-545
Number of pages	11
Journal	Archiv der Mathematik
Volume	96
Issue number	6
DOIs	https://doi.org/10.1007/s00013-011-0256-z
Publication status	Published - Jun 2011
Externally published	Yes

Keywords

Analytic spread
Arithmetical rank
Reduction

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1007/s00013-011-0256-z

Cite this

@article{aa369d59601640e4851533dc571d37bd,

title = "Schmitt-Vogel type lemma for reductions",

abstract = "The lemma given by Schmitt and Vogel is an important tool in the study of the arithmetical rank of squarefree monomial ideals. In this paper, we give a Schmitt-Vogel type lemma for reductions as an analogous result.",

keywords = "Analytic spread, Arithmetical rank, Reduction",

author = "Kyouko Kimura and Naoki Terai and Yoshida, {Ken ichi}",

note = "Funding Information: Acknowledgements. K. Kimura was supported by JST, CREST. N. Terai was supported by JSPS 20540047. K. Yoshida was supported by JSPS 19340005. The authors thank the referee for reading our manuscript carefully.",

year = "2011",

month = jun,

doi = "10.1007/s00013-011-0256-z",

language = "English",

volume = "96",

pages = "535--545",

journal = "Archiv der Mathematik",

issn = "0003-889X",

publisher = "Birkhauser Verlag Basel",

number = "6",

}

TY - JOUR

T1 - Schmitt-Vogel type lemma for reductions

AU - Kimura, Kyouko

AU - Terai, Naoki

AU - Yoshida, Ken ichi

N1 - Funding Information: Acknowledgements. K. Kimura was supported by JST, CREST. N. Terai was supported by JSPS 20540047. K. Yoshida was supported by JSPS 19340005. The authors thank the referee for reading our manuscript carefully.

PY - 2011/6

Y1 - 2011/6

N2 - The lemma given by Schmitt and Vogel is an important tool in the study of the arithmetical rank of squarefree monomial ideals. In this paper, we give a Schmitt-Vogel type lemma for reductions as an analogous result.

AB - The lemma given by Schmitt and Vogel is an important tool in the study of the arithmetical rank of squarefree monomial ideals. In this paper, we give a Schmitt-Vogel type lemma for reductions as an analogous result.

KW - Analytic spread

KW - Arithmetical rank

KW - Reduction

UR - http://www.scopus.com/inward/record.url?scp=79958249968&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79958249968&partnerID=8YFLogxK

U2 - 10.1007/s00013-011-0256-z

DO - 10.1007/s00013-011-0256-z

M3 - Article

AN - SCOPUS:79958249968

SN - 0003-889X

VL - 96

SP - 535

EP - 545

JO - Archiv der Mathematik

JF - Archiv der Mathematik

IS - 6

ER -

Schmitt-Vogel type lemma for reductions

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this