  Ferromagnetism in one dimension is a novel observation which has been
reported in a recent work (P. Gambardella et.al., Nature {\bf 416}, 301
(2002)), anisotropies are responsibles in that relevant effect. In the present
work, another approach is used to obtain transition between two different
magnetic ordering phases. Critical temperature has been estimated by Binder
method. Ferromagnetic long range interactions have been included in a special
Hamiltonian through a power law that decays at large inter-particle distance
$r$ as $r^{-\alpha}$, where $\alpha\geq0$. For the present model, we have found
that the trend of the critical temperature vanishes when the range of
interactions decreases ($\alpha\to\infty$) and close to mean field
approximation when the range of interactions increases ($\alpha\to0$). The
crossover between two these limit situations is discussed
