Pure and Cohen-Macaulay Simplicial Complexes Associated with Squarefree Lexsegment Ideals

Vittoria Bonanzinga; Loredana Sorrenti; Naoki Terai

doi:10.1080/00927872.2011.605409

Pure and Cohen-Macaulay Simplicial Complexes Associated with Squarefree Lexsegment Ideals

Vittoria Bonanzinga, Loredana Sorrenti, Naoki Terai

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

3 Citations (Scopus)

Abstract

We classify the unmixed squarefree lexsegment ideals and determine those which are Cohen-Macaulay.

Original language	English
Pages (from-to)	4195-4214
Number of pages	20
Journal	Communications in Algebra
Volume	40
Issue number	11
DOIs	https://doi.org/10.1080/00927872.2011.605409
Publication status	Published - Nov 2012
Externally published	Yes

Keywords

Cohen-Macaulay
Pure
Simplicial complex
Squarefree lexsegment ideal
Stanley-Reisner ring
Unmixed

ASJC Scopus subject areas

Algebra and Number Theory

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10.1080/00927872.2011.605409

Cite this

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title = "Pure and Cohen-Macaulay Simplicial Complexes Associated with Squarefree Lexsegment Ideals",

abstract = "We classify the unmixed squarefree lexsegment ideals and determine those which are Cohen-Macaulay.",

keywords = "Cohen-Macaulay, Pure, Simplicial complex, Squarefree lexsegment ideal, Stanley-Reisner ring, Unmixed",

author = "Vittoria Bonanzinga and Loredana Sorrenti and Naoki Terai",

note = "Funding Information: The third author acknowledges the financial support of GNSAGA-INDAM and the hospitality during his stay at the University of Reggio Calabria. This work was also supported by KAKENHI20540047.",

year = "2012",

month = nov,

doi = "10.1080/00927872.2011.605409",

language = "English",

volume = "40",

pages = "4195--4214",

journal = "Communications in Algebra",

issn = "0092-7872",

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T1 - Pure and Cohen-Macaulay Simplicial Complexes Associated with Squarefree Lexsegment Ideals

AU - Bonanzinga, Vittoria

AU - Sorrenti, Loredana

AU - Terai, Naoki

N1 - Funding Information: The third author acknowledges the financial support of GNSAGA-INDAM and the hospitality during his stay at the University of Reggio Calabria. This work was also supported by KAKENHI20540047.

PY - 2012/11

Y1 - 2012/11

N2 - We classify the unmixed squarefree lexsegment ideals and determine those which are Cohen-Macaulay.

AB - We classify the unmixed squarefree lexsegment ideals and determine those which are Cohen-Macaulay.

KW - Cohen-Macaulay

KW - Pure

KW - Simplicial complex

KW - Squarefree lexsegment ideal

KW - Stanley-Reisner ring

KW - Unmixed

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DO - 10.1080/00927872.2011.605409

M3 - Article

AN - SCOPUS:84866534548

SN - 0092-7872

VL - 40

SP - 4195

EP - 4214

JO - Communications in Algebra

JF - Communications in Algebra

IS - 11

ER -

Pure and Cohen-Macaulay Simplicial Complexes Associated with Squarefree Lexsegment Ideals

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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