Licci squarefree monomial ideals generated in degree two or with deviation two

JOURNAL OF ALGEBRA

卷:390

Article

Kimura, Kyouko¹  Terai, Naoki²  Yoshida, Ken-ichi³ 

[1] Shizuoka Univ, Grad Sch Sci, Dept Math, Suruga Ku, Shizuoka 4228529, Japan

[2] Saga Univ, Fac Culture & Educ, Dept Math, Saga 8408502, Japan

[3] Nihon Univ, Coll Humanities & Sci, Dept Math, Setagaya Ku, Tokyo 1568550, Japan

关键词: Monomial ideal;    Edge ideal;    Hypergraph;    Linkage;    Licci;    Deviation;    Cohen-Macaulay ring;   

DOI  :  10.1016/j.jalgebra.2013.06.001

来源: Elsevier

【 摘 要 】

We study squarefree monomial ideals which are in the linkage class of a complete intersection (we call such an ideal licci). Firstly we classify all licci edge ideals. Secondly we prove that any Cohen-Macaulay almost complete intersection squarefree monomial ideal is licci. Thirdly we characterize licci squarefree monomial ideals of deviation 2 in terms of hypergraphs associated to the ideals as an application of the classification in Kimura, Terai and Yoshida (2009)[15]. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free