8 citations · 45 across the 17 of their papers we have counts for
18 papers
Subnormal subgroups of almost locally simple artinian algebras with involutions
Dau Thi Hue, Huynh Viet Khanh, Bui Xuan Hai
In this paper, we investigate subnormal subgroups of the multiplicative group of an almost locally simple artinian algebra with involution. In particular, we show that if either th…
Multiplicative groups of Leavitt path algebras
Bui Xuan Hai, Huynh Viet Khanh
In this paper, we prove that the multiplicative group of a unital non-commutative Leavitt path algebra and Cohn path algebra contain a non-cyclic free subgroup, p…
Corrigendum to the proof of one theorem in the article "On multiplicative subgroups in division rings" [arXiv:1302.0589, J. Algebra and Its Applications Vol. 15, No. 3 (2016) 1550050 (16 pages)]
Bui Xuan Hai
In this note, the correction to the proof of one theorem in some our previous paper [arXiv:1302.0589] will be given.
Permutable subgroups in $\GL_n(D)$ and applications to locally finite group algebras
Le Qui Danh, Mai Hoang Bien, Bui Xuan Hai
In this paper we study the existence of free non-abelian subgroups in non-central permutable subgroups of general skew linear groups and locally finite group algebras.
Locally solvable maximal subgroups in division rings
Huynh Viet Khanh, Bui Xuan Hai
Let be a division ring with center , and an almost subnormal subgroup of . In this paper, we show that if contains a non-abelian locally solvable maximal subgro…
Locally solvable and solvable-by-finite maximal subgroups of
Huynh Viet Khanh, Bui Xuan Hai
This paper aims at studying solvable-by-finite and locally solvable maximal subgroups of an almost subnormal subgroup of the general skew linear group $\GL_n(D)$ over a division ri…
A note On subgroups in a division ring that are left algebraic over a division subring
Bui Xuan Hai, Vu Mai Trang, Mai Hoang Bien
Let be a division ring with center and a division subring of . In this paper, we show that a non-central normal subgroup of the multiplicative group is lef…
Generalized power central group identities in almost subnormal subgroups of $\GL_n(D)$
Bui Xuan Hai, Huynh Viet Khanh, Mai Hoang Bien
In this paper, we study almost subnormal subgroups of the general linear group $\GL_n(D)$ of degree over a division ring that satisfy a generalized power central group…
On division subrings normalized by almost subnormal subgroups in division rings
Trinh Thanh Deo, Mai Hoang Bien, Bui Xuan Hai
Let be a division ring with infinite center, a proper division subring of and an almost subnormal subgroup of the multiplicative group of . The aim of this…
Generalized algebraic rational identities of subnormal subgroups in division rings
Bui Xuan Hai, Mai Hoang Bien, Truong Huu Dung
In this note, we introduce a new concept of a {\it generalized algebraic rational identity} to investigate the structure of division rings. The main theorem asserts that if a non-c…
On weakly locally finite division rings
Trinh Thanh Deo, Mai Hoang Bien, Bui Xuan Hai
Weakly locally finite division rings were considered in \cite{dbh}, where it was mentioned that the class of weakly locally finite division rings properly contains the class of loc…
On linear groups over weakly locally finite division rings
Bui Xuan Hai, Mai Hoang Bien, Trinh Thanh Deo
In this paper, we give the definition of {\em weakly locally finite} division rings and we show that the class of these rings strictly contains the class of locally finite division…
On multiplicative subgroups in division rings
Bui Xuan Hai, Nguyen Anh Tu
Let be a division ring. In this paper, we investigate properties of subgroups of an arbitrary subnormal subgroup of the multiplicative group of . The new obtained resu…
On one Laurent series ring over an extension of
Trinh Thanh Deo, Mai Hoang Bien, Bui Xuan Hai
In this paper, using the general Mal'cev-Neumann construction of Laurent series rings, we construct a Laurent series ring with a base ring which is an extension of the field $\math…
On locally solvable maximal subgroups of the multiplicative group of a division ring
Bui Xuan Hai, Dang Vu Phuong Ha
Let be a division ring and be the multiplicative group of . In this paper we study locally solvable maximal subgroups of .
On subgroups in division rings of type
Bui Xuan Hai, Trinh Thanh Deo, Mai Hoang Bien
Let be a division ring with center . We say that is a {\em division ring of type } if for every two elements the division subring is a finite d…
On perfect order subsets in finite groups
Nguyen Trong Tuan, Bui Xuan Hai
If is a finite group and then the set of all elements of having the same order as is called {\em an order subset of determined by } (see [2]). We say th…
On the proof of some theorem on locally nilpotent subgroups in division rings
Bui Xuan Hai, Nguyen Van Thin
In Hai-Thin (2009), there is a theorem, stating that every locally nilpotent subnormal subgroup in a division ring is central (see Hai-Thin (2009, Th. 2.2)). Unfortunately, the…