The Wedderburn decomposition in finite-dimensional alternative superalgebras in caracteristic 3.
The Wedderburn decomposition in finite dimensional alternative
superalgebras of characteristic 3 is studied.
It is proved that the decomposition exists provided the semisimple quotient
superalgebra does not contain certain simple superalgebras.
Counterexamples are given which show that the restrictions cannot
be omitted. Together with the similar results by N.A. Pisarenko
for the characteristic not 2,3 case, the results of the paper
give a description of Wedderburn decomposition for alternative superalgebras
of characteristic not 2.
M.C. López-Díaz <cld@pinon.ccu.uniovi.es>