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The edge ideals of {{\textbf{t}}}-spread d-partite hypergraphs

  • Musapaşaoğlu, Asli [1] ; Asloob Qureshi, Ayesha [1] ; Nasernejad, Mehrdad [2]
    1. [1] Sabanci University, Faculty of Engineering and Natural Sciences, Orta Mahalle, Tuzla, 34956, Istanbul, Turkey
    2. [2] Univ. Artois, UR 2462, Laboratoire de Mathématique de Lens (LML), 62300, Lens, France
  • Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 75, Fasc. 3, 2024, págs. 735-751
  • Idioma: inglés
  • DOI: 10.1007/s13348-023-00410-y
  • Texto completo no disponible (Saber más ...)
  • Resumen
    • Inspired by the definition of {{\textbf{t}}}-spread monomial ideals, in this paper, we introduce {{\textbf{t}}}-spread d-partite hypergraph {\text {K}}^{{{\textbf{t}}}}_{{\text {V}}} and study its edge ideal I({\text {K}}^{{{\textbf{t}}}}_{{\text {V}}}). We prove that I({\text {K}}^{{{\textbf{t}}}}_{{\text {V}}}) has linear quotients, all powers of I({\text {K}}^{{{\textbf{t}}}}_{{\text {V}}}) have linear resolution and the Rees algebra of I({\text {K}}^{{{\textbf{t}}}}_{{\text {V}}}) is a normal Cohen-Macaulay domain. It is also shown that I (Kv) is normally torsion-free and a complete characterization of Cohen-Macaulay S/I({\text {K}}^{{{\textbf{t}}}}_{{\text {V}}}) is given.


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