English

Stability index for algebras with involution

Rings and Algebras 2016-06-21 v2

Abstract

In earlier work we developed the theory of signatures of hermitian forms over algebras with involution with respect to orderings on the base field of the algebra and obtained in particular that the total signature of a hermitian form is a continuous function from the space of orderings of that field to Z\mathbb{Z}. In this note we give another presentation of signatures and also introduce and study the stability index of algebras with involution.

Keywords

Cite

@article{arxiv.1406.5892,
  title  = {Stability index for algebras with involution},
  author = {Vincent Astier and Thomas Unger},
  journal= {arXiv preprint arXiv:1406.5892},
  year   = {2016}
}

Comments

11 pages; this version replaces the previous one which contained a mistake in the first half

R2 v1 2026-06-22T04:44:46.164Z