Work

DG Algebra Structures on Mapping Cones with an Application to Edge Ideals

Year: 2026

Type: preprint

Abstract: We generalize a construction of Herzog and Takayama pertaining to differential graded algebra structures on mapping cones. Via this generalization, we provide the minimal free resolution of the edge ideal of a new graph built from suspension over a vertex cover of an old graph, and we discuss when this process preserves differential graded algebra structure on the respective resolutions.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.34020

Authors: Geller, Hugh, Martin, Desiree, Mastroeni, Matthew, Potts-Rubin, Henry

Institutions: Center for Naval Analyses, Syracuse University, SUNY Polytechnic Institute, Bowdoin College

Language: English

Topic: Commutative Algebra and Its Applications

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7214738246

Cites: 15

Cited by:

Related to: 10