Betti-linear Ideals
Commutative Algebra
2015-10-29 v1 Algebraic Geometry
Combinatorics
Abstract
We introduce the notion of a Betti-linear monomial ideal, which generalizes the notion of lattice-linear monomial ideal introduced by Clark. We provide a characterization of Betti-linearity in terms of Tchernev's poset construction. As an application we obtain an explicit canonical construction for the minimal free resolutions of monomial ideals having pure resolutions.
Keywords
Cite
@article{arxiv.1510.08402,
title = {Betti-linear Ideals},
author = {Daniel Wood},
journal= {arXiv preprint arXiv:1510.08402},
year = {2015}
}
Comments
12 pages