M. H. Bien

activity

20102022

most citedA note On subgroups in a division ring that are left algebraic over a division subring

3 citations · 8 across the 9 of their papers we have counts for

collaborators

11 papers

math.RA2022

Products of Unipotent Elements in Certain Algebras

M. H. Bien, P. V. Danchev, M. Ramezan-Nassab +1

Let $F$ be a field with at least three elements and $G$ a locally finite group. This paper aims to show that if either $F$ is algebraically closed or the characteristic of $F$ is p…

math.RA2020

Algebraic commutators with respect to subnormal subgroups in division rings

Mai Hoang Bien, Bui Xuan Hai, Vu Mai Trang

Let $D$ be a division ring and $K$ a subfield of $D$ which is not necessarily contained in the center $F$ of $D$ . In this paper, we study the structure of $D$ under the condition o…

math.RA2020★ 2 cited

Intersection graphs of almost subnormal subgroups in general skew linear groups

Bui Xuan Hai, Binh-Minh Bui-Xuan, Le Van Chua +1

Let $D$ be a division ring, $n$ a positive integer, and GL $_{n} (D)$ the general linear group of degree $n$ over $D$ . In this paper, we study the induced subgraph of the intersection…

math.RA2019★ 1 cited

Self-Invariant Maximal Subfields and Their Connexion with Some Conjectures in Division Rings

Mehdi Aaghabali, M. H. Bien

Let D be a division algebra with center F. A maximal subfield of D is defined to be a field K such that CD(K) = K; that is, K is its own centralizer in D. A maximal subfield K is s…

math.RA2018★ 2 cited

On subnormal subgroups in division rings containing a non-abelian solvable subgroup

Bui Xuan Hai, Mai Hoang Bien

Let $D$ be a division ring with center $F$ and $N$ a subnormal subgroup of the multiplicative group $D^{*}$ of $D$ . Assume that $N$ contains a non-abelian solvable subgroup. In this…

math.RA2018★ 3 cited

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 $D$ be a division ring with center $F$ and $K$ a division subring of $D$ . In this paper, we show that a non-central normal subgroup $N$ of the multiplicative group $D^{*}$ is lef…

math.RA2017

Almost subnormal subgroups in division rings with generalized algebraic rational identities

Bui Xuan Hai, Truong Huu Dung, Mai Hoang Bien

In this paper we study non-central almost subnormal subgroups of the multiplicative group of a division ring satisfying a non-zero generalized rational identity. The main result ge…

math.RA2017

Certain Simple Maximal Subfields in Division Rings

Mehdi Aaghabali, Mai Hoang Bien

Let D be a division ring finite dimensional over its center F. The goal of this paper is to prove that for any positive integer n there exists a in D^(n); the n-th multiplicative d…

math.RA2016

Free subgroups in almost subnormal subgroups of general skew linear groups

Nguyen Kim Ngoc, Mai Hoang Bien, Bui Xuan Hai

Let $D$ be a weakly locally finite division ring and $n$ a positive integer. In this paper, we investigate the problem on the existence of non-cyclic free subgroups in non-central…

math.RA2015

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…

math.RA2010

Linear groups over a locally linear division ring

Bui Xuan Hai, Mai Hoang Bien, Trinh Thanh Deo

In this paper, in the first we give definitions of some classes of division rings which strictly contain the class of centrally finite division rings. One of our main purpose is to…