On cohomology for module bundles over associative algebra bundles

We define cohomology of module bundles over associative algebra bundles. We establish a one to one correspondence between the first cohomology classes and the extensions of module bundles. Using this correspondence we give sufficient condition in terms of cohomology for an algebra bundle to be semisimple.

کلیدواژه ها:

Vector bundle ، Algebra bundle ، Module bundle ، Cohomology