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On cohomology for module bundles over associative algebra bundles | ||
Journal of Algebra and Related Topics | ||
دوره 12، شماره 1، مهر 2024، صفحه 13-21 اصل مقاله (279.13 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22124/jart.2023.23522.1479 | ||
نویسندگان | ||
H. M. Prasad1؛ R. Rajendra* 1؛ B. S. Kiranagi2 | ||
1Department of Mathematics, Field Marshal K.M. Cariappa College, (A Constituent College of Mangalore University), Madikeri, India | ||
2Department of Mathematics, Mangalore University, Mangala- gangothri and Department of Mathematics, University of Mysore, Man-asagangotri , India | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
Vector bundle؛ Algebra bundle؛ Module bundle؛ Cohomology | ||
آمار تعداد مشاهده مقاله: 65 تعداد دریافت فایل اصل مقاله: 139 |