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Functorial relationship between multirings and the various abstract theories of quadratic forms

2016/10/04 by Hugo Rafael de Oliveira Ribeiro, Ribeiro, Hugo Rafael de Oliveira, Kaique Matias de Andrade Roberto +3
Mathematics · #Advanced Topics in Algebra #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #math.AC #math.RA

paper · pdf · doi:10.48550/arxiv.1610.00816

arxiv created 2020/08/27 · arxiv updated 2020/08/31

Abstract

We provide, explicitly, equivalences and dual equivalences between categories of abstract quadratic forms theories and subcategories of multifields and multirings, that will bring new perspectives and methods to the abstract theories of quadratic forms in forthcoming papers.

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