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arXiv · 2307.01674

Inductive graded rings, hyperfields and quadratic forms

Kaique Matias de Andrade Roberto·Hugo Luiz Mariano
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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.

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Kaique Matias de Andrade Roberto, Hugo Luiz Mariano. 2023-07-04. Inductive graded rings, hyperfields and quadratic forms. https://arxiv.org/abs/2307.01674

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