Square roots and n-th roots in pseudo-Michael algebras

Keywords: Pseudo-Michael algebra, locally multiplicatively pseudo-convex algebra, square root, n-th root, hermitian element

Abstract

The purpose of this paper is to study the existence of square roots and more
generally n-th roots in pseudo-Michael algebras. We examine several
conditions that imply the existence of n-th roots and hermitian n-th
roots. We also simplify the proofs of the results given by D. Sterbova.

Author Biography

Aziz Ifzarne, Hassan 1er University
Mathematiques et Informatique
Published
2017-06-20
Section
Articoli