Totally positive field extensions and the pythagorean index

P. Mandal; R. Preeti; A. Soman

doi:10.1142/S0219498824500348

Totally positive field extensions and the pythagorean index

P. Mandal
, R. Preeti^*
, A. Soman

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

For a formally real field F, we study totally positive field extensions K of F. We prove that, if K/F is Galois and totally positive then so is the corresponding extension of their pythagorean closures Kpy/Fpy. We also study the behavior of weak isotropy and weak hyperbolicity of central simple algebras with an orthogonal involution over totally positive field extensions. We use some of these results and show that a conjecture due to Becher holds in some new cases.

Original language	English
Article number	2450034
Journal	Journal of Algebra and Its Applications
Volume	23
Issue number	2
DOIs	https://doi.org/10.1142/S0219498824500348
Publication status	Published - 01-02-2024

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Applied Mathematics

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10.1142/S0219498824500348

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Totally positive field extensions and the pythagorean index

Abstract

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