On cohomology for module bundles over associative algebra bundles

Document Type : Research Paper

Authors

1 Department of Mathematics, Field Marshal K.M. Cariappa College, (A Constituent College of Mangalore University), Madikeri, India

2 Department of Mathematics, Mangalore University, Mangala- gangothri and Department of Mathematics, University of Mysore, Man-asagangotri , India

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

Journal of Algebra and Related Topics
Volume 12, Issue 1
July 2024
Pages 13-21

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