Tuğcuoğlu Musapaşaoğlu, Aslı and Nasernejad, Mehrdad and Asloob Topaçoğlu, Ayesha (2024) The edge ideals of t‐spread d-partite hypergraphs. Collectanea Mathematica, 75 (3). pp. 735-751. ISSN 0010-0757 (Print) 2038-4815 (Online)
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Official URL: http://dx.doi.org/10.1007/s13348-023-00410-y
Abstract
Inspired by the definition of t
-spread monomial ideals, in this paper, we introduce t
-spread d-partite hypergraph KtV
and study its edge ideal I(KtV)
. We prove that I(KtV)
has linear quotients, all powers of I(KtV)
have linear resolution and the Rees algebra of I(KtV)
is a normal Cohen-Macaulay domain. It is also shown that I(KtV)
is normally torsion-free and a complete characterization of Cohen-Macaulay S/I(KtV)
is given.
| Item Type: | Article |
|---|---|
| Subjects: | Q Science > QA Mathematics > QA150-272.5 Algebra |
| Divisions: | Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences |
| Depositing User: | Ayesha Asloob Topaçoğlu |
| Date Deposited: | 28 Sep 2024 19:48 |
| Last Modified: | 28 Sep 2024 19:48 |
| URI: | https://research.sabanciuniv.edu/id/eprint/50179 |
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The edge ideals of t‐spread d‐partite hypergraphs. (deposited 07 Aug 2023 22:24)
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