Componentwise linear ideals with minimal or maximal Betti numbers

被引：7
作者：
Herzog, Juergen [1 ]
Hibi, Takayuki [2 ]
Murai, Satoshi [2 ]
Takayama, Yukihide [3 ]
机构：
[1] Univ Duisburg Essen, Fachbereich Math & Informat, DE-45117 Essen, Germany
[2] Osaka Univ, Grad Sch Informat Sci & Technol, Dept Pure & Appl Math, Osaka 5600043, Japan
[3] Ritsumeikan Univ, Dept Math Sci, Shiga 5258577, Japan
来源：
ARKIV FOR MATEMATIK | 2008年 / 46卷 / 01期
基金：
日本学术振兴会;
关键词：
D O I：
10.1007/s11512-007-0046-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We characterize componentwise linear monomial ideals with minimal Taylor resolution and consider the lower bound for the Betti numbers of componentwise linear ideals.
引用
收藏
页码：69 / 75
页数：7
相关论文
共 50 条
[31]   Integrally closed and componentwise linear ideals [J].
Aldo Conca ;
Emanuela De Negri ;
Maria Evelina Rossi .
Mathematische Zeitschrift, 2010, 265 :715-734
[32]   Componentwise linear ideals and exchange properties [J].
Qureshi, Ayesha Asloob ;
Bandari, Somayeh .
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2025,
[33]   Optimal Betti numbers of forest ideals [J].
Goff, Michael .
ELECTRONIC JOURNAL OF COMBINATORICS, 2009, 16 (01)
[34]   Classes of cut ideals and their Betti numbers [J].
Herzog, Jurgen ;
Rahimbeigi, Masoomeh ;
Roemer, Tim .
SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, 2023, 17 (01) :172-187
[35]   LYUBEZNIK AND BETTI NUMBERS FOR HOMOGENEOUS IDEALS [J].
Nadi, Parvaneh ;
Rahmati, Farhad .
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2020, 50 (06) :2157-2165
[36]   Betti Numbers of Path Ideals of Trees [J].
Kiani, Dariush ;
Madani, Sara Saeedi .
COMMUNICATIONS IN ALGEBRA, 2016, 44 (12) :5376-5394
[37]   BETTI NUMBERS OF SOME MONOMIAL IDEALS [J].
Valla, Giuseppe .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2005, 133 (01) :57-63
[38]   Classes of cut ideals and their Betti numbers [J].
Jürgen Herzog ;
Masoomeh Rahimbeigi ;
Tim Römer .
São Paulo Journal of Mathematical Sciences, 2023, 17 :172-187
[39]   Extremal Betti numbers of edge ideals [J].
Hibi, Takayuki ;
Kimura, Kyouko ;
Matsuda, Kazunori .
ARCHIV DER MATHEMATIK, 2019, 113 (02) :149-155
[40]   Extremal Betti numbers of edge ideals [J].
Takayuki Hibi ;
Kyouko Kimura ;
Kazunori Matsuda .
Archiv der Mathematik, 2019, 113 :149-155
12345