Universally injective and integral contractions on relative Lipschitz saturation of algebras

TL;DR

This paper extends contraction results for diagrams of ring morphisms, including applications to quotients and base ring changes in the context of relative Lipschitz saturation of algebras.

Contribution

It introduces new contraction results that encompass Lipman's work, broadening the scope of algebraic diagram contractions and their applications.

Findings

Extended contraction results for a broader class of ring morphism diagrams

Applications to quotient constructions in algebra

Results on changing base rings in saturation processes

Abstract

In this work, we obtain contraction results for a class of diagrams of ring morphisms which strictly includes the ones obtained by Lipman. Further, we present some applications on quotient and in the changing of the base ring in the saturation.