Suppose K is a field, A, B are homogeneous distinguished completely red ucible algebras of linear transformations: acting in M and N, respectively. M M0 is an irreducible A-submodule of M, N0 is an irreducible B-submodule of N, R, S are the centralizers of M0 and N0. respectively. In this paper the author gave some necessary and sufficient conditions for that A(?)B is a distinguished completely reducible algebra of linear transformations acting in M(?)N. |