Faithfully quadratic rings - a summary of results

• Autorzy: M. Dickmann , F. Miraglia
• Języki publikacji: EN

Abstrakty

EN

This is a summary of some of the main results in the monograph Faithfully Ordered Rings (Mem. Amer. Math. Soc. 2015), presented by the first author at the ALANT conference, Będlewo, Poland, June 8-13, 2014. The notions involved and the results are stated in detail, the techniques employed briefly outlined, but proofs are omitted. We focus on those aspects of the cited monograph concerning (diagonal) quadratic forms over preordered rings.

Kategorie tematyczne

• 16S60: Rings of functions, subdirect products, sheaves of rings
• 16W80: Topological and ordered rings and modules
• 13J25: Ordered rings
• 11E20: General ternary and quaternary quadratic forms; forms of more than two variables
• 06F25: Ordered rings, algebras, modules
• 11E81: Algebraic theory of quadratic forms; Witt groups and rings

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2016
• Tom: 108
• Numer: 1
• Strony: 37-48

Daty

wydano

2016

Twórcy

autor

M. Dickmann

• Institut de Mathématiques de Jussieu - Paris Rive Gauche, Universités Paris 6 et 7, Bâtiment Sophie Germain, 75205 Paris Cedex 13, France

autor

F. Miraglia

• Instituto de Matemática e Estatística, Universidade de São Paulo, R. do Matão, 1010 - Vila Universitaria, São Paulo - SP, 05508-090, Brazil

Identyfikatory

DOI

10.4064/bc108-0-4