%0 Journal Article
%T Quadratic structures associated to (multi)rings
%J Categories and General Algebraic Structures with Applications
%I Shahid Beheshti University
%Z 2345-5853
%A Roberto, Kaique Matias de Andrade
%A Ribeiro, Hugo Rafael de Oliveira
%A Mariano, Hugo Luiz
%D 2022
%\ 01/01/2022
%V 16
%N 1
%P 105-141
%! Quadratic structures associated to (multi)rings
%K quadratic forms
%K special groups
%K real semigroup
%K multirings
%K hyperfields
%R 10.52547/cgasa.2021.101430
%X We consider certain pairs (A, T) where A is a (multi)ring andT ⊆ A is a multiplicative set that generates, by a convenient quotient construction,a (multi)structure that supports a quadratic form theory: withsome natural hypotheses we generalize constructions previously presentedin [3] and [6]. This also provides some steps towards an abstract formallyreal quadratic form theory (non necessarily reduced) were the forms havegeneral coefficients (non only units).
%U https://cgasa.sbu.ac.ir/article_101430_bb0f3ec01ae0ca89d6f8082aef1b5b76.pdf