Abstract
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].
Original language | English |
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Pages (from-to) | 264-289 |
Number of pages | 26 |
Journal | Journal of Algebra |
Volume | 390 |
DOIs | |
Publication status | Published - Sep 5 2013 |
Externally published | Yes |
Keywords
- Cohen-Macaulay ring
- Deviation
- Edge ideal
- Hypergraph
- Licci
- Linkage
- Monomial ideal
ASJC Scopus subject areas
- Algebra and Number Theory