5 papers
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…