Hereditarily non-pythagorean fields

Grimm, D; Leep, DB

Grimm, D (corresponding author), Univ Santiago Chile USACH, Fac Ciencia, Dept Matemat & Ciencia Computac, Santiago, Chile.

JOURNAL OF ALGEBRA, 2021; 574 (): 434

Abstract

We prove for a large class of fields F that every proper finite extension of F-pyth, the pythagorean closure of F, is not a pythagorean field. This cl......

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