Invariants of symmetric algebras associated to graphs

被引：10
作者：
Imbesi, Maurizio [1 ]
La Barbiera, Monica [1 ]
机构：
[1] Univ Messina, Fac Sci, Dept Math, I-98166 Messina, Italy
来源：
TURKISH JOURNAL OF MATHEMATICS | 2012年 / 36卷 / 03期
关键词：
Edge ideals; symmetric algebra; s-sequence; SEQUENCES;
D O I：
10.3906/mat-1010-68
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work we deal with the symmetric algebra, of monomial ideals that arise from graphs, the edge ideals. The notion of s-sequence is explored for such ideals in order to compute standard algebraic invariants of their symmetric algebra in terms of the corresponding invariants of special quotients of the polynomial ring related to the graphs.
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收藏
页码：345 / 358
页数：14
相关论文
共 6 条
  • [1] s-Sequences and symmetric algebras
    Herzog, J
    Restuccia, G
    Tang, ZM
    [J]. MANUSCRIPTA MATHEMATICA, 2001, 104 (04) : 479 - 501
  • [2] Herzog J, 2011, GRAD TEXTS MATH, V260, P3, DOI 10.1007/978-0-85729-106-6
  • [3] Edge ideals and connection problems
    Imbesi, Maurizio
    La Barbiera, Monica
    [J]. COMMUNICATIONS IN APPLIED AND INDUSTRIAL MATHEMATICS, 2010, 1 (02): : 127 - 134
  • [4] ON THE SYMMETRIC ALGEBRA OF AN IDEAL
    KUHL, M
    [J]. MANUSCRIPTA MATHEMATICA, 1982, 37 (01) : 49 - 60
  • [5] On certain monomial sequences
    Tang, ZM
    [J]. JOURNAL OF ALGEBRA, 2004, 282 (02) : 831 - 842
  • [6] Villarreal R.H., 2001, PURE APPL MATH, V238
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