Stanley-Reisner rings with large multiplicities are Cohen-Macaulay

Naoki Terai; Ken ichi Yoshida

doi:10.1016/j.jalgebra.2005.10.011

Stanley-Reisner rings with large multiplicities are Cohen-Macaulay

Naoki Terai, Ken ichi Yoshida

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

2 Citations (Scopus)

Abstract

We prove that Stanley-Reisner rings having sufficiently large multiplicities are Cohen-Macaulay using Alexander duality.

Original language	English
Pages (from-to)	493-508
Number of pages	16
Journal	Journal of Algebra
Volume	301
Issue number	2
DOIs	https://doi.org/10.1016/j.jalgebra.2005.10.011
Publication status	Published - Jul 15 2006
Externally published	Yes

Keywords

Alexander duality
Cohen-Macaulay
Initial degree
Linear resolution
Multiplicity
Relation type
Stanley-Reisner ring

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jalgebra.2005.10.011

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title = "Stanley-Reisner rings with large multiplicities are Cohen-Macaulay",

abstract = "We prove that Stanley-Reisner rings having sufficiently large multiplicities are Cohen-Macaulay using Alexander duality.",

keywords = "Alexander duality, Cohen-Macaulay, Initial degree, Linear resolution, Multiplicity, Relation type, Stanley-Reisner ring",

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

year = "2006",

month = jul,

day = "15",

doi = "10.1016/j.jalgebra.2005.10.011",

language = "English",

volume = "301",

pages = "493--508",

journal = "Journal of Algebra",

issn = "0021-8693",

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T1 - Stanley-Reisner rings with large multiplicities are Cohen-Macaulay

AU - Terai, Naoki

AU - Yoshida, Ken ichi

PY - 2006/7/15

Y1 - 2006/7/15

N2 - We prove that Stanley-Reisner rings having sufficiently large multiplicities are Cohen-Macaulay using Alexander duality.

AB - We prove that Stanley-Reisner rings having sufficiently large multiplicities are Cohen-Macaulay using Alexander duality.

KW - Alexander duality

KW - Cohen-Macaulay

KW - Initial degree

KW - Linear resolution

KW - Multiplicity

KW - Relation type

KW - Stanley-Reisner ring

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U2 - 10.1016/j.jalgebra.2005.10.011

DO - 10.1016/j.jalgebra.2005.10.011

M3 - Article

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SN - 0021-8693

VL - 301

SP - 493

EP - 508

JO - Journal of Algebra

JF - Journal of Algebra

IS - 2

ER -

Stanley-Reisner rings with large multiplicities are Cohen-Macaulay

Abstract

Keywords

ASJC Scopus subject areas

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