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 \(I({\text {K}}^{{{\textbf{t}}}}_{{\text {V}}})\) is normally torsion-free and a complete characterization of Cohen-Macaulay \(S/I({\text {K}}^{{{\textbf{t}}}}_{{\text {V}}})\) is given.

受\({{\textbf{t}}}\) -spread 单项式理想定义的启发，在本文中，我们引入\({{\textbf{t}}}\) -spread d -partite hypergraph \( {\text {K}}^{{{\textbf{t}}}}_{{\text {V}}}\) 并研究其边缘理想 \(I({ \ text {K}}^{{ {\textbf{t}}}}_{{\text {V}}})\)。我们证明\(I({\text {K}}^{{{\textbf{t}}}}_{{\text {V}}})\) 具有线性商，\( I ( {\text {K}}^{{{\textbf{t}}}}_{{\text {V}}})\) 具有线性分辨率和 \(I({\text { K } }^{{{\textbf{t}}}}_{{\text {V}}})\) 是正常的 Cohen-Macaulay 域。还表明\(I({\text {K}}^{{{\textbf{t}}}}_{{\text {V}}})\)通常是无扭转的并且是 Cohen-Macaulay 的完整表征\(S/I({\text {K}}^{{{\textbf{t}}}}_{{\text {V}}})\ ）给出。