Functorial relationship between multirings and the various abstract   theories of quadratic forms
  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. 
Hugo Rafael de Oliveira Ribeiro and Kaique Matias de Andrade Roberto   and Hugo Luiz Mariano
math.AC math.RA