Extended Bezout Identities

! $# , where # is the identity matrix. However, only two different types of primeness, ZLP and MLP, have been defined in [13], which correspond to the case % and a polynomial containing &(' % variables . To my knowledge, nothing has been done for the other cases until the work of Oberst [6], surely because the complexity of the matrices increases with the number & . The main contribution of [6] has been the introduction of algebraic analysis concepts [2] in the theory of multidimensional systems. Following an idea of Malgrange, it is shown in [6] how to associate with any multidimensional system a finitely presented module ) . Then, the author shows that ZLP (resp. MLP) corresponds to a projective (resp. torsion-free) -module ) and he defines a new type of primeness, WZLP, which corresponds to containing one variable. In [12], it is shown that for a multidimensional control system, defined by a full row rank matrices , there exist a one-to-one correspondence between the number of in and a chain of