7 citations · 16 across the 10 of their papers we have counts for
14 papers · 1 filter
Generalized -Fine and Quasi -Fine Rings
Mai Hoang Bien, Peter Vassilev Danchev, Mojtaba Ramezan-Nassab
Fine rings and generalized fine rings have been extensively studied through additive decompositions involving units and nilpotent elements. In this paper, we develop analogous deco…
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.
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…
Quasi-duo differential polynomial rings
Mai Hoang Bien, Johan Öinert
In this article we give a characterization of left (right) quasi-duo differential polynomial rings. In particular, we show that a differential polynomial ring is left quasi-duo if…
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…
Generalized group identities of subnormal subgroups of general linear groups
Mai Hoang Bien
Let be a division ring with infinite center, be a positive integer and be a generalized group identity over the general linear group $\GL_n(D)$.…
Maximal subfields of a division algebra
Mai Hoang Bien
Let be a division algebra over a field . In this paper, we prove that there exist such that and are maximal subfields of ,…
The endomorphism ring of an injective square-free module
Mai Hoang Bien
Let be an injective right module over a ring . The goal of this paper to prove that the endomorphism ring of is quasi-duo if and only if is square-free…
On normal subgroups of whose elements are periodic modulo the center of of bounded order
Mai Hoang Bien
Let be a division ring with the center . Suppose that is a normal subgroup of which is radical over , that is, for any element , there exists a pos…
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 normal subgroups of division rings which are radical over a proper division subring
Mai Hoang Bien, Duong Hoang Dung
We introduce Kurosh elements in division rings based on the idea of a conjecture of Kurosh. Using this, we generalize a result of Faith in [3] and of Herstein in [6].
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 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…