It is shown that if a topologically semisimple 

algebra A, which has at least one closed maximal 

left (or right) ideal, is a locally pseudoconvex 

Waelbroeck algebra, a locally A-pseudoconvex algebra, 

a locally pseudoconvex Fr\'echet algebra, 

an exponentially galbed algebra with bounded elements, 

or a Gelfand-Mazur algebra, for which there exists 

at least one closed 2-sided ideal, which is maximal 

as left (or right) ideal, then A is representable 

as a subalgebra of a {\it section algebra}.