Componentwise linear ideals with minimal or maximal Betti numbers

Jürgen Herzog; Takayuki Hibi; Satoshi Murai; Yukihide Takayama

doi:10.1007/s11512-007-0046-9

Componentwise linear ideals with minimal or maximal Betti numbers

Jürgen Herzog^*, Takayuki Hibi, Satoshi Murai, Yukihide Takayama

^*Corresponding author for this work

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

6 Citations (Scopus)

Abstract

We characterize componentwise linear monomial ideals with minimal Taylor resolution and consider the lower bound for the Betti numbers of componentwise linear ideals.

Original language	English
Pages (from-to)	69-75
Number of pages	7
Journal	Arkiv for Matematik
Volume	46
Issue number	1
DOIs	https://doi.org/10.1007/s11512-007-0046-9
Publication status	Published - 2008 Apr
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

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10.1007/s11512-007-0046-9

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title = "Componentwise linear ideals with minimal or maximal Betti numbers",

abstract = "We characterize componentwise linear monomial ideals with minimal Taylor resolution and consider the lower bound for the Betti numbers of componentwise linear ideals.",

author = "J{\"u}rgen Herzog and Takayuki Hibi and Satoshi Murai and Yukihide Takayama",

note = "Funding Information: The third author is supported by JSPS Research Fellowships for Young Scientists.",

year = "2008",

month = apr,

doi = "10.1007/s11512-007-0046-9",

language = "English",

volume = "46",

pages = "69--75",

journal = "Arkiv for Matematik",

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TY - JOUR

T1 - Componentwise linear ideals with minimal or maximal Betti numbers

AU - Herzog, Jürgen

AU - Hibi, Takayuki

AU - Murai, Satoshi

AU - Takayama, Yukihide

N1 - Funding Information: The third author is supported by JSPS Research Fellowships for Young Scientists.

PY - 2008/4

Y1 - 2008/4

N2 - We characterize componentwise linear monomial ideals with minimal Taylor resolution and consider the lower bound for the Betti numbers of componentwise linear ideals.

AB - We characterize componentwise linear monomial ideals with minimal Taylor resolution and consider the lower bound for the Betti numbers of componentwise linear ideals.

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U2 - 10.1007/s11512-007-0046-9

DO - 10.1007/s11512-007-0046-9

M3 - Article

AN - SCOPUS:39349091391

SN - 0004-2080

VL - 46

SP - 69

EP - 75

JO - Arkiv for Matematik

JF - Arkiv for Matematik

IS - 1

ER -

Componentwise linear ideals with minimal or maximal Betti numbers

Abstract

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