English

Functorial relationship between multirings and the various abstract theories of quadratic forms

Commutative Algebra 2020-08-31 v4 Rings and Algebras

Abstract

We provide, explicitly, equivalences and dual equivalences between categories of abstract quadratic forms theories and subcategories of multifields and multirings, that will bring new perspectives and methods to the abstract theories of quadratic forms in forthcoming papers.

Keywords

Cite

@article{arxiv.1610.00816,
  title  = {Functorial relationship between multirings and the various abstract theories of quadratic forms},
  author = {Hugo Rafael de Oliveira Ribeiro and Kaique Matias de Andrade Roberto and Hugo Luiz Mariano},
  journal= {arXiv preprint arXiv:1610.00816},
  year   = {2020}
}