Lazardian Witt vectors

TL;DR

This paper introduces Lazardian Witt vectors, a new variation of Witt vector functors based on Lazard's universal $\

Contribution

It develops the Lazardian Witt vector functor and applies it to construct the universal residual perfection of Lazardian algebras, expanding Witt vector theory.

Findings

Defined the Lazardian Witt vector functor.

Constructed the universal residual perfection of Lazardian algebras.

Extended Witt vector theory using Lazard's universal $\

Abstract

We use Lazard's universal $\pi$-ring to construct a variation of the $\pi$-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.