참고문헌
- B. Amberg and Y. Sysak, Semilocal rings with n-Engel multiplicative group, Arch. Math. (Basel) 83 (2004), no. 5, 416-421. https://doi.org/10.1007/s00013-004-1113-0
- M. H. Bien and M. Ramezan-Nassab, Engel subnormal subgroups of skew linear groups, Linear Algebra Appl. 558 (2018), 74-78. https://doi.org/10.1016/j.laa.2018.08.020
- M. H. Bien and M. Ramezan-Nassab, Some algebraic algebras with Engel unit groups, J. Algebra Appl. 2020. https://doi.org/10.1142/S0219498821500109
- A. Bovdi, Group algebras with an Engel group of units, J. Aust. Math. Soc. 80 (2006), no. 2, 173-178. https://doi.org/10.1017/S1446788700013057
- A. A. Bovdi and I. I. Khripta, The Engel property of the multiplicative group of a group algebra, Math. USSR-Sb. 72 (1992), no. 1, 121-134; translated from Mat. Sb. 182 (1991), no. 1, 130-144. https://doi.org/10.1070/SM1992v072n01ABEH001265
-
L. Q. Danh, M. H. Bien, and B. X. Hai, Permutable subgroups in
$GL_n(D)$ and applications to locally finite group algebras, submitted, 2019, arXiv:1912.09887. - C. Faith, Algebraic division ring extensions, Proc. Amer. Math. Soc. 11 (1960), 43-53. https://doi.org/10.2307/2032714
- J. Z. Goncalves, Free groups in subnormal subgroups and the residual nilpotence of the group of units of group rings, Canad. Math. Bull. 27 (1984), no. 3, 365-370. https://doi.org/10.4153/CMB-1984-055-6
- J. Z. Goncalves and D. S. Passman, Construction of free subgroups in the group of units of modular group algebras, Comm. Algebra 24 (1996), no. 13, 4211-4215. https://doi.org/10.1080/00927879608825808
- J. Z. Goncalves and D. S. Passman, Free groups in normal subgroups of the multiplicative group of a division ring, J. Algebra 440 (2015), 128-144. https://doi.org/10.1016/j.jalgebra.2015.05.020
- K. W. Gruenberg, Two theorems on Engel groups, Proc. Cambridge Philos. Soc. 49 (1953), 377-380. https://doi.org/10.1017/s0305004100028528
- L. Makar-Limanov and P. Malcolmson, Words periodic over the center of a division ring, Proc. Amer. Math. Soc. 93 (1985), no. 4, 590-592. https://doi.org/10.2307/2045526
- M. Ramezan-Nassab, Group algebras with Engel unit groups, J. Aust. Math. Soc. 101 (2016), no. 2, 244-252. https://doi.org/10.1017/S1446788716000094
- M. Ramezan-Nassab, Group algebras with locally nilpotent unit groups, Comm. Algebra 44 (2016), no. 2, 604-612. https://doi.org/10.1080/00927872.2014.982817
- M. Ramezan-Nassab and D. Kiani, Some skew linear groups with Engel's condition, J. Group Theory 15 (2012), no. 4, 529-541. https://doi.org/10.1515/jgt-2012-0003
- D. M. Riley, Group algebras with units satisfying an Engel identity, Rend. Circ. Mat. Palermo (2) 49 (2000), no. 3, 540-544. https://doi.org/10.1007/BF02904264
- L. H. Rowen, Polynomial identities in ring theory, Pure and Applied Mathematics, 84, Academic Press, Inc., New York, 1980.
- D. A. Suprunenko and M. S. Garascuk, Linear groups with Engel's condition, Dokl. Akad. Nauk BSSR 6 (1962), 277-280.