Opuscula Math. 37, no. 6 (), 829-837
http://dx.doi.org/10.7494/OpMath.2017.37.6.829
Opuscula Mathematica

# 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.