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math.AC2026
DG Algebra Structures on Mapping Cones with an Application to Edge Ideals
Hugh Geller, Desiree Martin, Matthew Mastroeni +1
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 reso…
math.AC2026
Betti numbers of inductively pierced codes
Hugh Geller, Rebecca R. G., Alexandra Seceleanu +1
Neural ideals were introduced by Curto, Itskov, et al as an algebraic tool to study neural codes. In this paper, we use the notion of polarization introduced by Güntürkün, Jeffries…