COMMUNICATIONS IN ALGEBRA, cilt.36, sa.3, ss.1115-1120, 2008 (SCI-Expanded)
Let X-1 I X-2,..., X-n be realcompact spaces and Z he a topological space. Let pi : C(X-1)X C(X-2) X... X C(X-n)-> C(Z) be a Riesz n-morphism. We show that there exist functions sigma(i) : Z -> X-i (i = 1, 2,..., n) and w epsilon C(Z) such that