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Bibliographic Details
Main Authors: Carolus, Samuel, Laubacher, Jacob, Vitalbo, Sydney D., Widlarz, Leah K.
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2404.06368
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Table of Contents:
  • It is well known that the bar resolution can be replaced with any projective resolution of the corresponding algebra when computing the Hochschild (co)homology of that algebra. This is, in fact, a feature of its construction via derived functors. For generalizations and extensions of the Hochschild (co)homology, one uses a bar-like resolution in a simplicial setting in order to accommodate the changing module structures in every dimension. In this note, we present a method in order to replace these bar-like resolutions.