The Lefschetz property for componentwise linear ideals and Gotzmann ideals

被引：28
|
作者：
Wiebe, A [1 ]
机构：
[1] Univ Duisburg Gesamthsch, Fachbereich Math & Informat, D-45141 Essen, Germany
来源：
COMMUNICATIONS IN ALGEBRA | 2004年 / 32卷 / 12期
关键词：
Lefschetz property; componentwise linear ideals; Gotzmann ideals;
D O I：
10.1081/AGB-200036809
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For standard graded Artinian K-algebras defined by componentwise linear ideals and Gotzmann ideals, we give conditions for the weak Lefschetz property in terms of numerical invariants of the defining ideals.
引用
收藏
页码：4601 / 4611
页数：11
相关论文
共 50 条
  • [1] THE WEAK LEFSCHETZ PROPERTY FOR m-FULL IDEALS AND COMPONENTWISE LINEAR IDEALS
    Harima, Tadahito
    Watanabe, Junzo
    ILLINOIS JOURNAL OF MATHEMATICS, 2012, 56 (03) : 957 - 966
  • [2] Componentwise linear ideals
    Herzog, J
    Hibi, T
    NAGOYA MATHEMATICAL JOURNAL, 1999, 153 : 141 - 153
  • [3] Ideals with Linear Quotients and Componentwise Polymatroidal Ideals
    Bandari, Somayeh
    Qureshi, Ayesha Asloob
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2023, 20 (02)
  • [4] Ideals with Linear Quotients and Componentwise Polymatroidal Ideals
    Somayeh Bandari
    Ayesha Asloob Qureshi
    Mediterranean Journal of Mathematics, 2023, 20
  • [5] Powers of Componentwise Linear Ideals
    Herzog, Juergen
    Hibi, Takayuki
    Ohsugi, Hidefumi
    COMBINATORIAL ASPECTS OF COMMUTATIVE ALGEBRA AND ALGEBRAIC GEOMETRY: THE ABEL SYMPOSIUM 2009, 2011, 6 : 49 - +
  • [6] Ideals with componentwise linear powers
    Hibi, Takayuki
    Moradi, Somayeh
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2024, 67 (03): : 833 - 841
  • [7] Principal Borel ideals and Gotzmann ideals
    V. Bonanzinga
    Archiv der Mathematik, 2003, 81 : 385 - 396
  • [8] Principal Borel ideals and Gotzmann ideals
    Bonanzinga, V
    ARCHIV DER MATHEMATIK, 2003, 81 (04) : 385 - 396
  • [9] Completely m-full ideals and componentwise linear ideals
    Harima, Tadahito
    Watanabe, Junzo
    MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2015, 158 (02) : 239 - 248
  • [10] GOTZMANN EDGE IDEALS
    Hoefel, Andrew H.
    COMMUNICATIONS IN ALGEBRA, 2012, 40 (04) : 1222 - 1233
12345