|
Abstract
|
In this paper we study classes of monomial ideals for which all of its powers have a linear resolution. Let K[x_1; x_2] be the polynomial ring in two variables over the field K, and let L be the generalized mixed product ideal induced by a monomial ideal I. It is shown that, if I\subset K[x_1; x_2] and the ideals substituting the monomials in I are Veronese type ideals, then L^k has a linear resolution for all k >=1. Furthermore, we compute some algebraic invariants of generalized mixed product ideals induced by a transversal polymatroidal ideal.
|