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ON NORMAL SUBGROUPS OF D∗ WHOSE ELEMENTS ARE PERIODIC MODULO THE CENTER OF D∗ OF BOUNDED ORDER

Year 2014, Volume: 16 Issue: 16, 66 - 71, 01.12.2014

Mai Hoang Bien

https://doi.org/10.24330/ieja.266227
https://izlik.org/JA75UF45LH

Abstract

Let D be a division ring with the center F = Z(D). Suppose
that N is a normal subgroup of D∗ which is radical over F, that is, for any
element x ∈ N, there exists a positive integer nx, such that xnx ∈ F. In [5],
Herstein conjectured that N is contained in F. In this paper, we show that
the conjecture is true if there exists a positive integer d such that nx ≤ d for
any x ∈ N.

Keywords

Division ring normal subgroup radical central

Year 2014, Volume: 16 Issue: 16, 66 - 71, 01.12.2014

Mai Hoang Bien

https://doi.org/10.24330/ieja.266227
https://izlik.org/JA75UF45LH

Abstract

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Details

Other ID JA76AK79SV
Authors

Mai Hoang Bien This is me

Publication Date December 1, 2014
DOI https://doi.org/10.24330/ieja.266227
IZ https://izlik.org/JA75UF45LH
Published in Issue Year 2014 Volume: 16 Issue: 16

Cite

APA Bien, M. H. (2014). ON NORMAL SUBGROUPS OF D∗ WHOSE ELEMENTS ARE PERIODIC MODULO THE CENTER OF D∗ OF BOUNDED ORDER. International Electronic Journal of Algebra, 16(16), 66-71. https://doi.org/10.24330/ieja.266227
AMA 1.Bien MH. ON NORMAL SUBGROUPS OF D∗ WHOSE ELEMENTS ARE PERIODIC MODULO THE CENTER OF D∗ OF BOUNDED ORDER. IEJA. 2014;16(16):66-71. doi:10.24330/ieja.266227
Chicago Bien, Mai Hoang. 2014. “ON NORMAL SUBGROUPS OF D∗ WHOSE ELEMENTS ARE PERIODIC MODULO THE CENTER OF D∗ OF BOUNDED ORDER”. International Electronic Journal of Algebra 16 (16): 66-71. https://doi.org/10.24330/ieja.266227.
EndNote Bien MH (December 1, 2014) ON NORMAL SUBGROUPS OF D∗ WHOSE ELEMENTS ARE PERIODIC MODULO THE CENTER OF D∗ OF BOUNDED ORDER. International Electronic Journal of Algebra 16 16 66–71.
IEEE [1]M. H. Bien, “ON NORMAL SUBGROUPS OF D∗ WHOSE ELEMENTS ARE PERIODIC MODULO THE CENTER OF D∗ OF BOUNDED ORDER”, IEJA, vol. 16, no. 16, pp. 66–71, Dec. 2014, doi: 10.24330/ieja.266227.
ISNAD Bien, Mai Hoang. “ON NORMAL SUBGROUPS OF D∗ WHOSE ELEMENTS ARE PERIODIC MODULO THE CENTER OF D∗ OF BOUNDED ORDER”. International Electronic Journal of Algebra 16/16 (December 1, 2014): 66-71. https://doi.org/10.24330/ieja.266227.
JAMA 1.Bien MH. ON NORMAL SUBGROUPS OF D∗ WHOSE ELEMENTS ARE PERIODIC MODULO THE CENTER OF D∗ OF BOUNDED ORDER. IEJA. 2014;16:66–71.
MLA Bien, Mai Hoang. “ON NORMAL SUBGROUPS OF D∗ WHOSE ELEMENTS ARE PERIODIC MODULO THE CENTER OF D∗ OF BOUNDED ORDER”. International Electronic Journal of Algebra, vol. 16, no. 16, Dec. 2014, pp. 66-71, doi:10.24330/ieja.266227.
Vancouver 1.Mai Hoang Bien. ON NORMAL SUBGROUPS OF D∗ WHOSE ELEMENTS ARE PERIODIC MODULO THE CENTER OF D∗ OF BOUNDED ORDER. IEJA. 2014 Dec. 1;16(16):66-71. doi:10.24330/ieja.266227

Cited By

Almost subnormal subgroups in division rings with generalized algebraic rational identities
Journal of Algebra and Its Applications
https://doi.org/10.1142/S021949882250075X