6 citations · 8 across the 4 of their papers we have counts for
4 papers
Linear Systems, Matrices and Vector Spaces over Superfields
Kaique Matias de Andrade Roberto, Hugo Rafael de Oliveira Ribeiro, Hugo Luiz Mariano +1
Motivated by some recent developments in abstract theories of quadratic forms, we start to develop in this work an expansion of Linear Algebra to multivalued structures (a multialg…
The general Arason-Pfister Hauptsatz
Kaique Matias de Andrade Roberto, Hugo Rafael de Oliveira Ribeiro, Hugo Luiz Mariano
In the present we develop a fragment of the theory of superfields, polynomials and Marshall's quotient in order to obtain for general special groups, a proof of the Arason-Pfister…
On algebraic extensions and algebraic closures of superfields
Kaique Matias de Andrade Roberto, Hugo Luiz Mariano, Hugo Rafael de Oliveira Ribeiro
Building over recent results, we expand the basic theory of algebraic extensions to the realm of superfields -a field with multivalued sum and product-, showing that every superfie…
Functorial relationship between multirings and the various abstract theories of quadratic forms
Hugo Rafael de Oliveira Ribeiro, Kaique Matias de Andrade Roberto, Hugo Luiz Mariano
We provide, explicitly, equivalences and dual equivalences between categories of abstract quadratic forms theories and subcategories of multifields and multirings, that will bring…