Primary Ideal Bundles of a Lie Algebra Bundle
DOI:
https://doi.org/10.5269/bspm.69267Resumen
In this paper, we study primary ideal bundles of a Lie algebra bundle and investigate their relations with prime, semiprime and irreducible ideal bundles. We characterize primary ideal bundles in terms of sections of Lie algebra bundles. Also, the concepts of prime Lie algebra bundles and primary Lie algebra bundles are introduced and studied briefly.
Referencias
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4. Arwa E. Ashour, Mohammed M. AL-Ashker and Mohammed A. AL-Aydi, Primary ideals of Lie algebras, Palestine Journal of Mathematics 11(1), 114-121, (2022).
5. Naoki Kawamoto, On prime ideals of Lie algebras, Hiroshima Math. J. 4, 679-684, (1974).
6. B. S. Kiranagi, Lie algebra bundles, Bull. Sci. Math., 2e series 102, 57-62, (1978).
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8. B. S. Kiranagi, Lie algebra bundles and Lie rings, Proc. Nat.Acad. Sci. India 54(A), 38-44, (1984).
9. B. S. Kiranagi, R. Rajendra and R. Kumar, On pullback Lie algebra bundles, Adv. Stud. Contemp. Math. (4)22, 521-524, (2012).
2. Falih. A. M. Aldosray,On Lie algebras with finiteness conditions, Hiroshima Math. J 13, 665-674, (1983).
3. Falih. A. M. Aldosray, On prime ideals of Lie algebras, Ph. D Thesis, (1984).
4. Arwa E. Ashour, Mohammed M. AL-Ashker and Mohammed A. AL-Aydi, Primary ideals of Lie algebras, Palestine Journal of Mathematics 11(1), 114-121, (2022).
5. Naoki Kawamoto, On prime ideals of Lie algebras, Hiroshima Math. J. 4, 679-684, (1974).
6. B. S. Kiranagi, Lie algebra bundles, Bull. Sci. Math., 2e series 102, 57-62, (1978).
7. B. S. Kiranagi, Semisimple Lie algebra bundles, Bull. Math.de la R.S. de Roumanie 27(75), 253-257, (1983).
8. B. S. Kiranagi, Lie algebra bundles and Lie rings, Proc. Nat.Acad. Sci. India 54(A), 38-44, (1984).
9. B. S. Kiranagi, R. Rajendra and R. Kumar, On pullback Lie algebra bundles, Adv. Stud. Contemp. Math. (4)22, 521-524, (2012).
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Publicado
2025-05-28
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Research Articles
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