0. Introduction. Before stating the results in this note, it is necessary to introduce some notation. A is a noetherian integral domain which is integrally closed in its quotient field K. 2 is a central simple finite-dimensional K-algebra, D is a central division K-algebra and V is a finitely generated right D vector space such that , = HomD (V, V) (so also D-=Homz(V, V)). Let A be an A-order in Z. Mt(A) denotes the category of left finitely generated A-modules, 3(A) the Serre subcategory of MZ(A) consisting of A-torsion left A-modules. 6P(A) is the Serre subcategory of 3(A) consisting of the pseudo-nul left A-modules, where a pseudonul module M is one for which MO =AOOAM=O for all prime ideals p of A of height at most one. The category MZ/6P(A) is formed by taking as objects the objects of Mi(A) and for M, in M(A), defining HomM/qp(M, N) to be the direct limit of Homag(M', N') taken over those M' and N' such that M/M' is in (6 and N'= N/N with N in (. 3/d'(A) is formed in a similar fashion. The first result may now be stated as follows: