Quadratic structures associated to (multi)rings

نویسندگان

1 Instituto de Matem´atica e Estat´ıstica, Universidade de S˜ao Paulo, Brazil.

2 Instituto de Matem´atica e Estat´ıstica, Universidade de S˜ao Paulo, Brazil

3 Instituto de Matem´atica e Estat´ıstica, Universidade de S˜ao Paulo, Brazil.

doi
10.52547/cgasa.2021.101430
چکیده

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).