  The phase diagram in coordinates "temperature - concentration of defects" of
quasi-one-dimensional Ising models with defects of the "random local field"
type is investigated. The confrontation of the tendency to the emergence of the
long-range order due to a weak interaction between one-dimensional spin chains
and the tendency to the formation of the Imry-Ma phase in which the order
parameter follows the fluctuations of the random field created by defects is
studied. The possibility of the appearance of the Imry-Ma phase in a situation
where the space dimension exceeds the lower critical dimension is shown. The
question of the existence of the long-range order in the Ising model with
random fields in space with the critical dimension dl = 2 is considered.
