# Nearly Complete Intersections

## A hypergraph characterization of nearly complete intersections

Recently, nearly complete intersection ideals were defined by Boocher and Seiner to establish lower bounds on Betti numbers for monomial ideals (arXiv:1706.09866). Stone and Miller then characterized nearly complete intersections using the theory of â€¦

## L-dimension for modules over a local ring.

We introduce a new homological dimension for finitely generated modules over a commutative local ring $R$, which is based on a complex derived from a free resolution $L$ of the residue field of $R$, and called $L$-dimension. We prove several â€¦