The Hilbert series of algebras of the Veronese type

被引：16
|
作者：
Katzman, M [1 ]
机构：
[1] Univ Sheffield, Dept Pure Math, Sheffield S3 7RH, S Yorkshire, England
来源：
COMMUNICATIONS IN ALGEBRA | 2005年 / 33卷 / 04期
关键词：
Hilbert series; Veronese subring;
D O I：
10.1081/AGB-200053828
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper gives an explicit formula for the Hilbert series of algebras of Veronese type.
引用
下载
收藏
页码：1141 / 1146
页数：6
相关论文
共 50 条
  • [1] Some remarks on Hilbert functions of veronese algebras
    Campbell, HEA
    Geramita, AV
    Hughes, IP
    Smith, GG
    Wehlau, DL
    COMMUNICATIONS IN ALGEBRA, 2000, 28 (03) : 1487 - 1496
  • [2] Hilbert series and Hilbert depth of squarefree Veronese ideals
    Ge, Maorong
    Lin, Jiayuan
    Wang, Yulan
    JOURNAL OF ALGEBRA, 2011, 344 (01) : 260 - 267
  • [3] Gorenstein algebras of Veronese type
    De Negri, E
    Hibi, T
    JOURNAL OF ALGEBRA, 1997, 193 (02) : 629 - 639
  • [4] On the log-concavity of Hilbert series of Veronese subrings and Ehrhart series
    Beck, Matthias
    Stapledon, Alan
    MATHEMATISCHE ZEITSCHRIFT, 2010, 264 (01) : 195 - 207
  • [5] On the log-concavity of Hilbert series of Veronese subrings and Ehrhart series
    Matthias Beck
    Alan Stapledon
    Mathematische Zeitschrift, 2010, 264 : 195 - 207
  • [6] The Veronese construction for formal power series and graded algebras
    Brenti, Francesco
    Welker, Volkmar
    ADVANCES IN APPLIED MATHEMATICS, 2009, 42 (04) : 545 - 556
  • [7] Restricted classes of veronese type ideals and algebras
    Dinu, Rodica
    Herzog, Jurgen
    Qureshi, Ayesha Asloob
    INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2021, 31 (01) : 173 - 197
  • [8] Hilbert series and relations in algebras
    Piontkovskii, DI
    IZVESTIYA MATHEMATICS, 2000, 64 (06) : 1297 - 1311
  • [9] Hilbert series and their relations in algebras
    Piontkovskii, DI
    RUSSIAN MATHEMATICAL SURVEYS, 1998, 53 (06) : 1360 - 1361
  • [10] On the Hilbert series of Koszul algebras
    Piontkovski, DI
    FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2001, 35 (02) : 133 - 137
12345