© Published under licence by IOP Publishing Ltd. An electron-electron interaction in a ferromagnet (F) was neglected in The standard approach to The proximity effect theories for The layered FS structures (here S is used for a superconductor). Actually this interaction exists, but it is suppressed by strong exchange field and can reveal itself if an exchange fields of adjacent F layers compensate each other. In The clean FS structures limit The preceding consideration of this interaction could explain a surprisingly high critical temperature Tc in The short-periodic Gd/La superlattice. Here we analyze this problem for dirty case based on The Usadel equations solutions changing parameters of asymmetrical FS systems (thicknesses of layers, bo...