Irreducible unital right alternative bimodules
Using the structure of right alternative right modules and
Jordan bimodules, right alternative bimodules
over the matrix algebra M2(F) are studied. It is
shown that, contrary to the Jordan and alternative cases, there are
infinitely many irreducible right alternative bimodules over this
algebra. The irreducible unital bimodules up to dimension 6 are
classified. An example of an indecomposable bimodule that is not
irreducible is also constructed.
L. I. Murakami < ikemoto@ime.usp.br >
I. Shestakov < shestak@ime.usp.br >