  Let K be a local field of mixed characteristic not absolutely ramified.
Fontaine-Laffaille theory gives a description of the torsion crystalline
Z_p-representations of the absolute Galois group of K (p denotes the
characteristic of the residual field). Improving the former works, Breuil
introduced new modules and obtained an integer and torsion thoery for the
semi-stable representations. In this paper, we follow Breuil's works and adapt
them to the case where the local field $K$ can be absolutely ramified. However,
we would have a limitation on the index of absolute ramification.
