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

Asli Musapaşaoğlu, Ayesha Asloob Qureshi, Mehrdad Nasernejad

• 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.