English

Lazardian Witt vectors

Number Theory 2025-10-27 v1 Commutative Algebra Algebraic Geometry

Abstract

We use Lazard's universal π\pi-ring to construct a variation of the π\pi-typical ramified Witt vector functors, which we call the Lazardian Witt vector functor. We then use the Lazardian Witt vector functor to construct the universal residual perfection of a Lazardian algebra.

Cite

@article{arxiv.2510.21658,
  title  = {Lazardian Witt vectors},
  author = {Alexander Lai De Oliveira},
  journal= {arXiv preprint arXiv:2510.21658},
  year   = {2025}
}
R2 v1 2026-07-01T07:04:18.423Z