%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