Generalized mixed product ideals

摘要

We consider classes of ideals which generalize the mixed product ideals introduced by Restuccia and Villarreal (see [5]), and also generalize the expansion construction by Bayati and Herzog [1]. We compute the minimal graded free resolution of generalized mixed product ideals and show that the regularity of a generalized mixed product ideal coincides with the regularity of the monomial ideal by which it is induced.