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.
Diğer ID | JA76AK79SV |
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Bölüm | Makaleler |
Yazarlar | |
Yayımlanma Tarihi | 1 Aralık 2014 |
Yayımlandığı Sayı | Yıl 2014 |