THE nth ROOTS AND THE QUASI SQUARE ROOTS IN COMPLETE METRIZABLE FUNDAMENTAL TOPOLOGICAL ALGEBRAS

E. Ansari-Piri (Iran) and A. Zohri (Iran)

Received December 12, 2007

Abstract

The square roots and quasi square roots have been studied before for Banach algebras as well as for Fréchet algebras. In this article we study the existence and the uniqueness of nth roots and quasi square roots of elements of complete metrizable fundamental topological algebras.

Keywords and phrases: fundamental topological algebra, quasi square roots, the nth roots.