Hypermodules and Amenability of Pseudo-Complete Locall Convex Algebras

Hypermodules and Amenability of Pseudo-Complete

Abstract

Given a Pseudo-complete locally convex algebra A. We define for A flat hypomodules and cyclic flat hypomodules in line with hypocontinuous multiplication in A. We generalize results available on amenability of Frechet algebras by using locally bounded approximate identity for pseudo-complete locally convex algebras endowed with the strict inductive limit topology.