Convolutional codes over rings are particularly suitable for representing codes over phase modulation signals. In order to develop a complete structural analysis of this class of codes, it is necessary to study rational matrices over rings, which constitutes the generator matrices (encoders) for such convolutional codes. Noncatastrophic, minimal, systematic and basic generator matrices are intr...

An explicit formula for the canonical bilinear form on Grothendieck ring of Lie supergroup G L ( n , m ) is given. As an application we get algorithm decomposition Euler characters in terms irreducible modules category partially polynomial modules.