Ideals with linear quotients in Segre products
Abstract. We establish that the Segre product between a polynomial ring on a field \(K\) in \(m\) variables and the second squarefree Veronese subalgebra of a polynomial ring on \(K\) in \(n\) variables has the intersection degree equal to three. We describe a class of monomial ideals of the Segre product with linear quotients.
Keywords: monomial algebras, graded ideals, linear resolutions.
Mathematics Subject Classification: 13A30, 13D45.