Ho-Ang-Bien Mai

activity

20102026

most citedOn subgroups in division rings of type

2

7 citations · 16 across the 10 of their papers we have counts for

collaborators

Showing 2013Show all

4 papers · 1 filter

math.RA2013

Maximal subfields of a division algebra

Mai Hoang Bien

Let $D$ be a division algebra over a field $F$ . In this paper, we prove that there exist $a, b, x, y \in D^{*}$ such that $F (ab - ba)$ and $F (x y x^{- 1} y^{- 1})$ are maximal subfields of $D$ ,…

math.RA2013★ 1 cited

The endomorphism ring of an injective square-free module

Mai Hoang Bien

Let $M_{R}$ be an injective right module over a ring $R$ . The goal of this paper to prove that the endomorphism ring $S = (M_{R})$ of $M$ is quasi-duo if and only if $M_{R}$ is square-free…

math.RA2013

On normal subgroups of $D^{*}$ whose elements are periodic modulo the center of $D$ of bounded order

Mai Hoang Bien

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 $x \in N$ , there exists a pos…

math.RA2013★ 4 cited

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…

Maximal subfields of a division algebra

The endomorphism ring of an injective square-free module

On normal subgroups of D∗ whose elements are periodic modulo the center of D of bounded order

On linear groups over weakly locally finite division rings

On normal subgroups of $D^{*}$ whose elements are periodic modulo the center of $D$ of bounded order