Topologiesm-Convexes dans les algebres a-convexes

We endow anyA-convex algebra (E, τ) with a multiplicatively-convex topologyM(τ) finer than τ. We then show that this is the weakestm-convex topology finer than τ. We are then led to consider two classes ofA-convex algebras examples and (or) characterizations of which are given.