<正> Definition. Let X be an algebra over number field K, and (X, T) be a fuzzy topological space defined by Lowen. If maps f: (x, y)→x+y,g:(k, x)→kx, ha:y→ay and hb:x→xb(x, y∈X, K∈K), are all fuzzy continuous (K is equipped with usual topology, X×X and K×X are fuzzy prod-