ARITHMETICAL RANK OF THE CYCLIC AND BICYCLIC GRAPHS

被引：12

作者：

Barile, Margherita ^{[1
]}

Kiani, Dariush ^{[2
]}

Mohammadi, Fatemeh ^{[2
]}

Yassemi, Siamak ^{[3
]}

机构：

[1] Univ Bari Aldo Moro, Dipartimento Matemat, I-70125 Bari, Italy

[2] Amirkabir Univ Technol, Dept Math, Tehran, Iran

[3] Univ Tehran, Dept Math, Tehran, Iran

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2012年 / 11卷 / 02期

关键词：

Arithmetical rank; projective dimension; edge ideals; set-theoretic complete intersection ideals; IDEALS;

D O I：

10.1142/S0219498811005634

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that for the edge ideals of the graphs consisting of one cycle or two cycles of any length connected through a vertex, the arithmetical rank equals the projective dimension of the corresponding quotient ring.

引用

页数：14

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