Faculty of Mathematics - Computer Science
| Position | Former Associate Dean of the Faculty of Mathematics – Computer Science Former Head of the Department of Algebra Former Manager of the Major of Algebra and Number Theory |
| Citation name | Bui Xuan Hai |
| Field of Professional | Algebra and Number Theory |
| Year of appointment title of Professor | 2015 |
| Style of citation | MLA Citation Style |
| Academic background | In 1976 Belarus State University (BGU) BSc of Mathematics In 1988 Leningrad State University (LGU) Assoc.DSc of Mathematics – Physics In 1995 University of Mons-Hainaut DSc of Mathematics |
| Name Languages | PROF. B脵I XU脗N H岷 bxhai@hcmus.edu.vn Vietnamese, English, French, Russian |
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PUBLICATION
1. H. V. Khanh, B. X. Hai, Locally solvable maximal subgroups in division rings, Kyoto Journal of Mathematics, accepted (2022).
2. V. M. Trang, M. H. Bien, T. H.Dung, B. X. Hai, On the algebraicity of bounded degree in division rings, Commun. in Algebra 50:10 (2022), 4178-4187, https://doi.org/10.1080/00927872.2022.2057523
3. L. V. Chua, M. H. Bien, B. X. Hai, A note on skew linear groups of finite rank, Archiv der Mathematik聽 119 (2022),聽 113-120, https://doi.org/10.1007/s00013-022-01732-2
4. M. H. Bien, B. X. Hai, D. T. Hue, On the unit groups of聽 rings with involution, Acta Mathematica Hungarica 166 (2) (2022), 432-452,聽 https://doi.org/10.1007/s10474-022-01223-4.
5. B. X. Hai, Maximal subgroups of almost subnormal subgroups in聽 division rings, Acta Math Vietnam (2022) 47, 197-209, https://doi.org/10.1007/s40306-021-00456-9
6. B.X. Hai, B.X.B. Minh, L. Van Chua, M.H. Bien (2021),聽 Low Diameter Algebraic Graphs. In: Ne拧et艡il J., Perarnau G., Ru茅 J., Serra O. (eds) Extended Abstracts EuroComb 2021. Trends in Mathematics, vol 14, 465-471. Birkh盲user,Cham.(Conference paper) https://doi.org/10.1007/978-3-030-83823-2_73
7. L. Q. Danh, M. H. Bien, and B. X. Hai, Permutable subgroups in GL(n,D) and applications to locally finite group algebras, Vietnam Journal of Mathematics, 51 (2023) 277-288 (Online First: 18-06-2021)
https://doi.org/10.1007/s10013-021-00513-8
8. B. X. Hai, H. V. Khanh, Multiplicative subgroups in weakly locally finite division rings, Acta Math Vietnam 46, 779-794 (2021), https://doi.org/10.1007/s40306-021-00429-y
9. B. X. Hai, T. H. Dung, M. H. Bien, Almost subnormal subgroups in division rings with generalized algebraic rational identities, Journal of Algebra and Its Applications 21:4 (2022), 2250075 (12 pages), https://doi.org/10.1142/S021949882250075X.
10. B. X. Hai, C. M. Nam, M. H. Bien, Automorphism groups of vector spaces with generalized group identities, Linear and Multilinear Algebra (2021) , Published online: 10 june 2021, http://doi.org/10.1080/03081087.2021.1939257.
11. M. H. Bien, B. X. Hai, V. M. Trang, Algebraic commutators with respect to subnormal subgroups in division rings, Acta Mathematica Hungarica (2021) 163(2) 663-681, https://doi.org/10.1007/s10474-020-01109-3
12. H. V. Khanh, B. X. Hai, Locally solvable and solvable-by-finite聽 maximal subgroups of聽 GLn(D), Publicacions Matem脿tiques聽 66 (2022) 77-97
DOI: 10.5565/PUBLMAT6612203
13. B. X. Hai, C. M. Nam, M. H. Bien, On locally finite skew group algebras, Mathematical Notes 108:6 (2020) 769-774, https://doi.org/10.1134/S000143462011019X
14. M. H. Bien, B. X. Hai, On subnormal subgroups in division rings containing a non-abelian solvable subgroup, Bull. Math. Soc. Sci. Math. Roumanie, 63:2 (111) (2020) 149-160.
15. T. T. Deo, M. H. Bien, and B. X. Hai, On division subrings normalized by almost subnormal subgroups in division rings, Periodica Mathematica Hungarica聽 80 (2020) 15-27, https://doi.org/10.1007/s10998-019-00282-5
16. T. T. Deo, M. H. Bien, and B. X. Hai, On weakly locally finite division rings, Acta Math Vietnam (2019) 44: 553-569, https://doi.org/10.1007/s40306-018-0292-x
17. B. X. Hai and H. V. Khanh, Free subgroups in maximal subgroups of skew linear groups, International聽 Journal of Algebra聽 and Computation 29: 3 (2019) 603-614,聽 https://doi.org/10.1142/S0218196719500164
18. B. X. Hai, H. V. Khanh, and M. H. Bien, Generalized power central group identities in almost subnormal subgroups of GLn(D), Algebra i Analiz 31:4 (2019) 225-239 (Russian), English transl. in St. Petersburg Mathematical Journal 31:4 (2020) 739-749,
https://doi.org/10.1090/spmj/1621
19. B. X. Hai, V. M. Trang, and M. H. Bien, A note On subgroups in a division ring that are left algebraic over a division subring, Archiv der Mathematik 113 (2019) 141-148, https://doi.org/10.1007/s00013-019-01317-6
20. N. K. Ngoc, M. H. Bien, and B. X. Hai, Free subgroups in almost subnormal subgroups of general skew linear groups, Algebra i Analiz,聽 28:5聽 (2016) (Russian) 220–235; transl. in聽 St. Petersburg Mathematical Journal, 28:5 (2017) 707-717, http://dx.doi.org/10.1090/spmj/1468
21. B. X. Hai and N. A. Tu, On multiplicative subgroups in division rings, Journal of Algebra and its Appllication,聽 15:3聽 (2016) 1650050 (16 pages), https://doi.org/10.1142/S021949881650050X
22. T. T. Deo, M. H. Bien, B. X. Hai, On radicality of maximal subgroups in GLn(D), Journal of聽 Algebra 365(2012) 42-49.
23. B. X. Hai, T. T. Deo, M. H. Bien, On聽 subgroups in division rings of type 2, Studia Scientiarum Mathematicarum Hungarica, 49 :4 (2012)聽 549-557,
https://doi.org/10.1556/SScMath.49.2012.4.1224
24. B. X. Hai, N. V. Thin, On聽 the proof of some theorem on locally nilpotent subgroups in division rings, Commun. in Algebra, 41:1 (2013) 401-403, http://dx.doi.org/10.1080/00927872.2011.607872
25. B. X. Hai, N. V. Thin, On subnormal subgroups in general skew linear groups, Vestnik St. Peterburg University, Mathematics, 46:1 (2013) 43-48, https://doi.org/10.3103/S1063454113010020
26. B. X. Hai, N. K. Ngoc, A note on the existence of non-cyclic free subgroups, Archiv der聽 Mathematik,聽 101: 5 (2013) 437-443,
https://doi.org/10.1007/s00013-013-0576-2
27. B. X. Hai, T. T. Deo, Corrigendum to the proofs of some theorems in the article 鈥淥n the radicality of maximal subgroups in GLn(D),)鈥 [J. Algebra 365 (2012) 42鈥49] , Journal of聽 Algebra聽 410 (2014) 541鈥544.
28. B. X. Hai, N. V. Thin, On locally nilpotent subgroups of聽 GL1(D), Communications in Algebra,聽 37: 2 (2009) 712-718, https://doi.org/10.1080/00927870802255287
29. B. X. Hai, On subgroups in the special linear group over a division algebra that contain the subgroup of diagonal matrices, Journal of聽 Pure and Appllied Algebra,聽 121: 1 (1997)聽 53-67.
30. B. X. Hai, The arrangement of subgroups in the special linear group over a division ring with infinite center (Russian), Zap. Nauchn. Sem. Leningr. Otdel. Mat. Inst. Steklov (LOMI),聽 175:聽 3 (1988), 5-11; English translation in ournal of聽 Soviet Mathematics聽 57: 6 (1991) 3449-3452.
1. B. X. Hai, On locally nilpotent maximal subgroups of the multiplicative group of a division ring, Acta Math Vietnam聽 36, No. 1, 113-118 (2011).
2. B. X. Hai, D. V. P. Ha, On locally solvable聽聽 maximal subgroups of the multiplicative group of a division ring, Vietnam Journal of Mathematics, 38: 2 (2010), 237-247.
3. Nguy峄卬 V膬n Th矛n, B霉i Xu芒n H岷, V峄 m峄檛 Gi岷 thuy岷縯 c峄 Herstein, T岷 ch铆 Ph谩t tri峄僴 Khoa h峄峜 v脿 C么ng ngh峄, T. 12, S.11 (2009) 5-10.
4. B. X. Hai, L. K. Huynh, Solvable subgroups in the division ring of real quaternions, Acta Math Vietnam 31: 2 (2006), 131-136.
5. B. X. Hai, L. K. Huynh, On subnormal subgroups of the multiplicative group of a division ring, Vietnam Journal of Mathematics,聽 32: 1 (2004) 21-24.
6. B. X. Hai, T. N. Hoi, On subgroups of the general linear group over a commutative von Neumann regular ring, Acta Mathematica Vietnamica聽 19: 2 (1994) 19-30.
7. B. X. Hai, V峄 v岷 膽峄 b岷 kh岷 qui v脿 t峄搉 t岷 nghi峄噈 c峄 膽a th峄ヽ, T岷燩 CH脥 TO脕N H峄孋 IX:聽 3 (1981), 29-32.
As a leader of the projects
1. 膼峄 th峄, 膽峄搉g nh岷 th峄ヽ v脿 c谩c c岷 tr煤c 膽岷 s峄, B2020-18-02 膼HQG, 2020-2022.
2. M峄檛 s峄 b脿i to谩n v峄 c岷 tr煤c nh贸m tuy岷縩 t铆nh tr锚n v脿nh chia, 101.04-2019.323 NAFOSTED,
2020-2022.
3. V脿nh chia v峄沬 c谩c 膽峄搉g nh岷 th峄ヽ h峄痷 t峄 t峄昻g qu谩t, 101.04-2016.18 NAFOSTED,
2017-2019.
4. T谩c 膽峄檔g c峄 膽峄搉g nh岷 th峄ヽ tr锚n m峄檛 s峄 c岷 tr煤c 膽岷 s峄, B2016-18-01膼HQG, 2016-2018.
5. M峄檛 s峄 ph瓢啤ng ph谩p nh贸m trong nghi锚n c峄﹗ c岷 tr煤c v脿nh, 101.04-2013.01 NAFOSTED,
2014-2016.
6. Nh贸m v脿 bi峄乽 di峄卬 nh贸m, 101.01-2011.16 NAFOSTED, 2012-2014.
7. C谩c nh贸m con l农y linh 膽峄媋 ph瓢啤ng trong v脿nh chia, 膼HQG, 2009-1010.
8. V峄 nh贸m con t峄慽 膽岷 c膬n tr锚n t芒m c峄 v脿nh chia h峄痷 h岷 t芒m, 膼HQG, 2008-2009.
9. Chu岷﹏ h贸a t峄 c峄 nh贸m con 膽a chu岷﹏ t岷痗, 膼HQG, 2007-2008.
10. M峄檛 s峄 nghi锚n c峄﹗ v峄 v脿nh chia, B.2003-18-38 膼HQG, 2003-2004.
As a member in the projects
1. 膼峄搉g nh岷 th峄ヽ nh贸m suy r峄檔g trong 膽岷 s峄 v脿 s峄 t峄搉 t岷 nh贸m con t峄 do trong c谩c 膽岷 s峄 nh贸m, C2018-18-03 膼HQG, 2017-2019.
2.聽 Nh贸m tuy岷縩 t铆nh tr锚n v脿nh chia th峄廰 m峄檛 s峄 膽i峄乽 ki峄噉 h峄痷 h岷, 膼HQG, 2012-2014.
1. B. X. Hai, L. K. Huynh, Some theorems on subgroups in division rings, Contributions in Mathematics and Applications, ICMA 2005, Bangkok, Thailand, Special vol. publish. by Est-West Journal of Mathematics (2005) 185-189.
2. B. X. Hai, T. V. Dai, T. V. P. Hung, On polynormal subgroups聽 of聽 finite groups, Contributions in Mathematics, and Applications, ICMA 2005, Bangkok, Thailand, Special vol. publish. by Est-West Journal of Mathematics (2005) 191-197.
3.B. X. Hai, N. V. Thin, On subnormal and maximal subgroups in division rings, Southeast Asian Bulletin of聽 Mathematics, 32: 5 (2008) 931-937.
Vietnamese Meritorious Teacher in 2008