Quadratic structures associated to (multi)rings

Document Type : Research Paper

Authors

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

Abstract

We consider certain pairs (A, T) where A is a (multi)ring and
T ⊆ A is a multiplicative set that generates, by a convenient quotient construction,
a (multi)structure that supports a quadratic form theory: with
some natural hypotheses we generalize constructions previously presented
in [3] and [6]. This also provides some steps towards an abstract formally
real quadratic form theory (non necessarily reduced) were the forms have
general coefficients (non only units).

Keywords

Main Subjects

References

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Categories and General Algebraic Structures with Applications
Volume 16, Issue 1
January 2022
Pages 105-141

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