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math.AC2023
A survey on relative Lipschitz saturation of algebras and its relation with radicial algebras
Thiago da Silva, Guilherme Schultz Netto
In this work, we introduce the concept of relative Lipschitz saturation, along with its key categorical and algebraic properties, and demonstrate how such a structure always gives…
math.AC2023
Universally injective and integral contractions on relative Lipschitz saturation of algebras
Thiago da Silva, Maico Ribeiro
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…
math.AC2023
The generic equivalence among the Lipschitz saturation of a sheaf of modules
Terence Gaffney, Thiago da Silva
In this work, we extend the concept of the Lipschitz saturation of an ideal to the context of modules in some different ways, and we prove they are generically equivalent.