On licci squarefree monomial ideals
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914393521913856 |
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| author | Bhardwaj, Om Prakash Chau, Trung Javadekar, Omkar |
| author_facet | Bhardwaj, Om Prakash Chau, Trung Javadekar, Omkar |
| contents | We study the licci property for several classes of squarefree monomial ideals arising from graphs and related combinatorial structures. We characterize licci bi-Cohen-Macaulay squarefree monomial ideals, complementary edge ideals, $t$-path ideals of cycles, and $(t-1)$-suspensions of graphs. Consequently, the full list of licci path ideals of trees is obtained. This work extends the known classification of licci edge ideals to a broader family of path ideals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_14043 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On licci squarefree monomial ideals Bhardwaj, Om Prakash Chau, Trung Javadekar, Omkar Commutative Algebra 14M06, 13C40, 13H10, 05E40 We study the licci property for several classes of squarefree monomial ideals arising from graphs and related combinatorial structures. We characterize licci bi-Cohen-Macaulay squarefree monomial ideals, complementary edge ideals, $t$-path ideals of cycles, and $(t-1)$-suspensions of graphs. Consequently, the full list of licci path ideals of trees is obtained. This work extends the known classification of licci edge ideals to a broader family of path ideals. |
| title | On licci squarefree monomial ideals |
| topic | Commutative Algebra 14M06, 13C40, 13H10, 05E40 |
| url | https://arxiv.org/abs/2603.14043 |