Commutative nearly absolute valued algebras with square roots
José Antonio Cuenca Mira, Francisca Miguel García · Homology Homotopy and Applications · 2018
Let A be a commutative nearly absolute valued algebra.In this note we prove that all elements of A have square roots if and only if A is a two-dimensional real division algebra.This can be viewed as a generalization of a well-known theorem of Hopf.