The minimal resolution of a cointerval edge ideal is multiplicative

TL;DR

This paper proves that the minimal resolution of a quotient by a cointerval edge ideal can be structured as a DG-algebra, revealing algebraic properties of these ideals.

Contribution

It introduces a DG-algebra structure on the minimal resolution of cointerval edge ideals, a novel insight into their algebraic structure.

Findings

Minimal resolution can be given a DG-algebra structure

The structure applies to quotients by cointerval edge ideals

Enhances understanding of algebraic properties of these ideals

Abstract

We show that the minimal resolution of the quotient of the polynomial algebra over a field by a cointerval edge ideal can be given the structure of a DG-algebra.