3 papers
math.RA2026
Marshall Quotients of the Rings
Lucas Colucci, Mathuzalem Ferreira de Lima, Kaique Matias de Andrade Roberto
We study the Marshall quotient \[ M(n)=M(\mathbb Z/n\mathbb Z) \] obtained from the ring of integers modulo by quotienting by the square classes of non-zero-divisors. Using ele…
math.AC2024
The Galois group of a Special Group
Kaique Matias de Andrade Roberto, Hugo Luiz Mariano
In this ongoing work, we extend to a class of well-behaved pre-special hyperfields the work of J. Miná\v c and Spira (\cite{minac1996witt}) that describes a (pro-2)-group of a fiel…
math.RA2019
Non Reduced Theory of Quadratic Forms Over Rings
Kaique Matias de Andrade Roberto, Hugo Luiz Mariano
Based on the works of M. Marshall on multirings, we propose the fundamentals for a \textbf{non reduced} abstract quadratic forms theory in general coefficients on rings, with the m…