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

Year 2014, , 66 - 71, 01.12.2014

Mai Hoang Bien

https://doi.org/10.24330/ieja.266227
Cited By: 1

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, , 66 - 71, 01.12.2014

Mai Hoang Bien

https://doi.org/10.24330/ieja.266227
Cited By: 1

Abstract

There are 0 citations in total.

Details

Other ID JA76AK79SV
Journal Section Articles
Authors

Mai Hoang Bien This is me

Publication Date December 1, 2014
Published in Issue Year 2014

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 Bien MH. ON NORMAL SUBGROUPS OF D∗ WHOSE ELEMENTS ARE PERIODIC MODULO THE CENTER OF D∗ OF BOUNDED ORDER. IEJA. December 2014;16(16):66-71. doi:10.24330/ieja.266227
Chicago 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, no. 16 (December 2014): 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 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, 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 2014), 66-71. https://doi.org/10.24330/ieja.266227.
JAMA 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, 2014, pp. 66-71, doi:10.24330/ieja.266227.
Vancouver 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.

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