Title of article :
On cohomology for module bundles over associative algebra bundles
Author/Authors :
Prasad ، H. M. Department of Mathematics - Field Marshal K.M. Cariappa College , Rajendra ، R. Department of Mathematics - Field Marshal K.M. Cariappa College , Kiranagi ، B. S. Department of Mathematics - Mangalore University
Abstract :
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.
Keywords :
Vector bundle , Algebra bundle , Module bundle , Cohomology
Journal title :
Journal of Algebra and Related Topics
Journal title :
Journal of Algebra and Related Topics
