Lazardian Witt vectors

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1. Verfasser: De Oliveira, Alexander Lai
Format: Preprint
Veröffentlicht: 2025
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author De Oliveira, Alexander Lai
author_facet De Oliveira, Alexander Lai
contents We use Lazard's universal $π$-ring to construct a variation of the $π$-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.
format Preprint
id arxiv_https___arxiv_org_abs_2510_21658
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Lazardian Witt vectors
De Oliveira, Alexander Lai
Number Theory
Commutative Algebra
Algebraic Geometry
We use Lazard's universal $π$-ring to construct a variation of the $π$-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.
title Lazardian Witt vectors
topic Number Theory
Commutative Algebra
Algebraic Geometry
url https://arxiv.org/abs/2510.21658