10 citations · 18 across the 7 of their papers we have counts for
7 papers
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…
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…
Some remarks about -regularity for real analytic maps
Maico Ribeiro, Ivan Santamaria, Thiago da Silva
In this paper, we discuss the concept of -regularity of analytic map germs and its close relationship with the existence of locally trivial smooth fibrations, known as the Milno…
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.
Real and complex integral closure, Lipschitz equisingularity and applications on square matrices
Thiago F. da Silva, Nivaldo G. Grulha, Miriam S. Pereira
Recently the authors investigated the Lipschitz triviality of simple germs of matrices. In this work, we improve some previous results and we present an extension of an integral cl…
The Bi-Lipschitz Equisingularity of Essentially Isolated Determinantal Singularities
Thiago F. da Silva, Nivaldo G. Grulha, Miriam S. Pereira
The bi-Lipschitz geometry is one of the main subjects in the modern approach of Singularity Theory. However, it rises from works of important mathematicians of the last century, es…
Categorical Aspects of the Double Structure of a Module
Thiago F. da Silva
In this work we develop some categorical aspects of the double structure of a module.