The edge ideals of t‐spread d‐partite hypergraphs

Tuğcuoğlu Musapaşaoğlu, Aslı and Nasernejad, Mehrdad and Asloob Topaçoğlu, Ayesha (2023) The edge ideals of t‐spread d‐partite hypergraphs. Collectanea Mathematica . ISSN 0010-0757 (Print) 2038-4815 (Online) Published Online First http://dx.doi.org/10.1007/s13348-023-00410-y

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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: 07 Aug 2023 22:24
Last Modified: 24 Aug 2023 14:30
URI: https://research.sabanciuniv.edu/id/eprint/47585

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