STRUCTURE AND REPRESENTATIONS OF FINITE-DIMENSIONAL ALTERNATIVE SUPERALGEBRAS

The carry of the theorem about the splitting of a solvable radical on alternative superalgebras is the aim of the paper as well as the description of alternative superbimoduluses over half-simple alternative superalgebras. As a result the problem of the splitting out of a solvable radical of a finite-dimensional alternative superalgebra over a field of the characteristics not equal to 2 or 3 has been solved. Finite-dimensional superbimoduluses over half-simple alternative superalgebras have been described. Second groups of cohomologies of simple alternative superalgebras have been calculatedAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio