Generalized mixed product ideals whose powers have a linear resolution
Commutative Algebra
2024-04-02 v1
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\geq 1. Furthermore, we compute some algebraic invariants of generalized mixed product ideals induced by a transversal polymatroidal ideal.
Cite
@article{arxiv.2404.00080,
title = {Generalized mixed product ideals whose powers have a linear resolution},
author = {Monica La Barbiera and Roya Moghimipor},
journal= {arXiv preprint arXiv:2404.00080},
year = {2024}
}