ON the CONJECTURE of VASCONCELOS for ARTINIAN ALMOST COMPLETE INTERSECTION MONOMIAL IDEALS

Kuei Nuan Lin; Yi Huang Shen

doi:10.1017/nmj.2019.42

ON the CONJECTURE of VASCONCELOS for ARTINIAN ALMOST COMPLETE INTERSECTION MONOMIAL IDEALS

Kuei Nuan Lin
, Yi Huang Shen

Penn State Greater Allegheny

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

2 Scopus citations

Abstract

In this short note, we confirm a conjecture of Vasconcelos which states that the Rees algebra of any Artinian almost complete intersection monomial ideal is almost Cohen-Macaulay.

Original language	English (US)
Pages (from-to)	263-277
Number of pages	15
Journal	Nagoya Mathematical Journal
Volume	243
DOIs	https://doi.org/10.1017/nmj.2019.42
State	Published - Sep 2021

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1017/nmj.2019.42

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@article{b9fa8371e9744752a614611dc8ad264f,

title = "ON the CONJECTURE of VASCONCELOS for ARTINIAN ALMOST COMPLETE INTERSECTION MONOMIAL IDEALS",

abstract = "In this short note, we confirm a conjecture of Vasconcelos which states that the Rees algebra of any Artinian almost complete intersection monomial ideal is almost Cohen-Macaulay.",

author = "Lin, \{Kuei Nuan\} and Shen, \{Yi Huang\}",

note = "Funding Information: Acknowledgments. The authors want to express sincere thanks to Teresa Cortadel-las Be{\'n}ıtez and Carlos D{\textquoteright}Andrea for directing their interest to the paper [1] and to Ricardo Burity and Aron Simis for helpful discussions. They also want to express heartfelt thanks to the two reviewers for the suggestions that greatly improved this paper. The second author is partially supported by the “Anhui Initiative in Quantum Information Technologies” (No. AHY150200) and the “Fundamental Research Funds for the Central Universities”. Publisher Copyright: {\textcopyright} 2021 The Author(s). Published by Cambridge University Press.",

year = "2021",

month = sep,

doi = "10.1017/nmj.2019.42",

language = "English (US)",

volume = "243",

pages = "263--277",

journal = "Nagoya Mathematical Journal",

issn = "0027-7630",

publisher = "Cambridge University Press",

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AU - Lin, Kuei Nuan

AU - Shen, Yi Huang

N1 - Funding Information: Acknowledgments. The authors want to express sincere thanks to Teresa Cortadel-las Beńıtez and Carlos D’Andrea for directing their interest to the paper [1] and to Ricardo Burity and Aron Simis for helpful discussions. They also want to express heartfelt thanks to the two reviewers for the suggestions that greatly improved this paper. The second author is partially supported by the “Anhui Initiative in Quantum Information Technologies” (No. AHY150200) and the “Fundamental Research Funds for the Central Universities”. Publisher Copyright: © 2021 The Author(s). Published by Cambridge University Press.

PY - 2021/9

Y1 - 2021/9

N2 - In this short note, we confirm a conjecture of Vasconcelos which states that the Rees algebra of any Artinian almost complete intersection monomial ideal is almost Cohen-Macaulay.

AB - In this short note, we confirm a conjecture of Vasconcelos which states that the Rees algebra of any Artinian almost complete intersection monomial ideal is almost Cohen-Macaulay.

UR - https://www.scopus.com/pages/publications/85112853612

UR - https://www.scopus.com/pages/publications/85112853612#tab=citedBy

U2 - 10.1017/nmj.2019.42

DO - 10.1017/nmj.2019.42

M3 - Article

AN - SCOPUS:85112853612

SN - 0027-7630

VL - 243

SP - 263

EP - 277

JO - Nagoya Mathematical Journal

JF - Nagoya Mathematical Journal

ER -

ON the CONJECTURE of VASCONCELOS for ARTINIAN ALMOST COMPLETE INTERSECTION MONOMIAL IDEALS

Abstract

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