Quadratic structures associated to (multi)rings

Quadratic structures associated to (multi)rings

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...

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Veröffentlicht in:Categories and general algebraic structures with applications 2022-01, Vol.16 (1)
Hauptverfasser: Kaique Roberto, Hugo Ribeiro, Hugo Mariano
Format: Artikel
Sprache:eng
Schlagworte:
hyperfields
multirings
quadratic forms
real semigroup
special groups
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Zusammenfassung: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).
ISSN:2345-5853
2345-5861
DOI:10.52547/cgasa.2021.101430