Inductive graded rings, hyperfields and quadratic forms
K-Theory and Homology
2023-07-06 v1 Commutative Algebra
Abstract
The goal of this work is twofold: (i) to provide a detailed analysis of some categories of inductive graded ring - a concept introduced in [DM98] in order to provide a solution of Marshall's signature conjecture in the algebraic theory of quadratic forms; (ii) apply this analysis to deepen the connections between the category of special hyperfields ([dARM22]) - equivalent to the category of special groups ([DM00]) and the categories of inductive graded rings.
Cite
@article{arxiv.2307.01674,
title = {Inductive graded rings, hyperfields and quadratic forms},
author = {Kaique Matias de Andrade Roberto and Hugo Luiz Mariano},
journal= {arXiv preprint arXiv:2307.01674},
year = {2023}
}