%0 Journal Article %T Fractional ideals and integration with respect to the generalised Euler characteristic %A Julio Jos¨¦ Moyano-Fern¨˘ndez %J Mathematics %D 2011 %I arXiv %X Let $b$ be a fractional ideal of a one-dimensional Cohen-Macaulay local ring $O$ containing a perfect field $k$. This paper is devoted to the study some $O$-modules associated with $b$. In addition, different motivic Poincar\'e series are introduced by considering ideal filtrations associated with $b$; the corresponding functional equations of these Poincar\'e series are also described. %U http://arxiv.org/abs/1106.6079v1