6 papers
Lie Algebras of Skew-Symmetric Elements in Simple Leavitt path algebras
Nguyen Huynh Thao Nhi, Huynh Viet Khanh
Let be a field and be a graph. Let be the Leavitt path algebra of over with the standard involution . We investigate the set of skew-symmetric elem…
On Congruence Theorem for valued division algebras
Huynh Viet Khanh, Nguyen Duc Anh Khoa
Let be a field equipped with a Henselian valuation, and let be a tame central division algebra over the field . Denote by the torsion subgroup of the…
Multiplicative Subgroups in weakly locally finite division rings
Bui Xuan Hai, Huynh Viet Khanh
The description of the subgroup structure of a non-commutative division ring is the subject of the intensive study in the theory of division rings in particular, and of the theory…
On locally solvable subgroups in division rings
Huynh Viet Khanh
Let be a division ring with center , and a subnormal subgroup of . We show that if is a locally solvable group such that is algebraic over , then $…
A note on solvable maximal subgroups in subnormal subgroups of
Huynh Viet Khanh, Bui Xuan Hai
Let be a non-commutative division ring, a subnormal subgroup of . In this note we show that if contains a non-abelian solvable maximal subgroup, then…
On free subgroups in maximal subgroups of skew linear groups
Bui Xuan Hai, Huynh Viet Khanh
The study of the existence of free groups in skew linear groups have been begun since the last decades of the 20-th century. The starting point is the theorem of Tits (1972), now o…