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PreprintarXiv licencearXiv

Derived plethystic algebra

  • Benjamin Antieau
  • Edith Hübner
  • Dmitry Kubrak
  • Joost Nuiten
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Abstract

We prove comparison results about ∞-categories of derived commutative rings with extra algebraic structure. For example, we show that several notions of derived δ-rings agree and obtain similar results for derived λ-rings, derived binomial rings, and derived Boolean rings. Our comparison results apply more generally to modules over a specific kind of monad on derived rings that we call derived plethory.

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Cite

BibTeXRIS
BibTeX
@misc{antieau2026derived,
  title = {{Derived plethystic algebra}},
  author = {Benjamin Antieau and Edith Hübner and Dmitry Kubrak and Joost Nuiten},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.12839},
  eprint = {2610.12839},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.12839},
}
RIS
TY  - UNPB
TI  - Derived plethystic algebra
AU  - Benjamin Antieau
AU  - Edith Hübner
AU  - Dmitry Kubrak
AU  - Joost Nuiten
PY  - 2026
DA  - 2026/10/09
PB  - arXiv
DO  - 10.48550/arxiv.2610.12839
UR  - https://arxiv.org/abs/2610.12839
AB  - We prove comparison results about ∞-categories of derived commutative rings with extra algebraic structure. For example, we show that several notions of derived δ-rings agree and obtain similar results for derived λ-rings, derived binomial rings, and derived Boolean rings. Our comparison results apply more generally to modules over a specific kind of monad on derived rings that we call derived plethory.
ER  -