The edge ideals of t‐spread d‐partite hypergraphs

Official URL: http://dx.doi.org/10.1007/s13348-023-00410-y

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.