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On prime ideal bundles of Lie algebra bundles | ||
| Journal of Algebra and Related Topics | ||
| دوره 12، شماره 1، مهر 2024، صفحه 67-77 اصل مقاله (265.46 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2023.24657.1533 | ||
| نویسندگان | ||
| M. V. Monica1؛ R. Rajendra* 2 | ||
| 1Field Marshal Ke M Cariappa College, Mangalore University, Madikeri, Karnataka, India | ||
| 2Field Marshal K.M. Cariappa College, Mangalore University, Madikeri, Karnataka, India | ||
| چکیده | ||
| In this paper, prime ideal bundles and semi-prime and irreducible ideal bundles of a Lie algebra bundle are defined and their relation with prime ideal bundles is studied. | ||
| کلیدواژه‌ها | ||
| Lie algebra bundle؛ prime ideal bundle؛ irreducible ideal bundle | ||
| مراجع | ||
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1. K. Ajaykumar, B. S. Kiranagi and R. Rangarajan, Pullback of Lie algebra and Lie group bundles and their homotopy invariance, J. Algebra Relat. Topics, (1) 8 (2020), 15-26. 2. F. A. M. Aldosray, The ideal and subideal structure of Lie Algebras, Ph.D Thesis, Warwick University, 1984. 3. N. Kawamoto, On Prime Ideals of Lie Algebras, Hiroshima Math. J, 4 (1974), 679-684. 4. B. S. Kiranagi, Lie algebra bundles, Bull. Sci. Math., 2e series, 102 (1978), 57-62. 5. B. S. Kiranagi, Semisimple Lie algebra bundles, Bull. Math.de la R.S. de Roumanie, (75) 27 (1983), 253-257. 6. B. S. Kiranagi, Lie algebra bundles and Lie rings, Proc. Nat.Acad. Sci. India, (A) 54 (1984), 38-44. 7. R. Kumar, On characteristic ideal bundles of a Lie algebra bundle, J. Algebra Relat. Topics, (2) 9 (2021), 23-28. 8. H. M. Prasad, R. Rajendra and B. S. Kiranagi, On Cohomology for Module Bundles Over Associative Algebra Bundles, J. Algebra Relat. Topics, accepted. | ||
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آمار تعداد مشاهده مقاله: 68 تعداد دریافت فایل اصل مقاله: 202 |
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