%J Mathware & Soft Computing %D 2008 %V 15 %L eprints705 %N 1 %A Rachele Foschi %A Fabio Spizzichino %X We consider a pair of exchangeable lifetimes X, Y and the families of the conditional survival functions F t (x, y) of (X ? t, Y ? t) given (X > t, Y > t). We analyze some properties of dependence and of ageing for F t (x, y) and some relations among them %I Seccio de Matematiques i Informatica, E.T.S. d'Arquitectura, Universitat Politecnica %P 95-111 %T Semigroups of Semi-copulas and Evolution of Dependence at Increase of Age