activity
20132026
collaborators

6 papers

math.RA2026

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…

math.RA2024

On Semi-Nil Clean Rings with Applications

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

We investigate the notion of \textit{semi-nil clean} rings, defined as those rings in which each element can be expressed as a sum of a periodic and a nilpotent element. Among our…

math.RA2023

Rings Additively Generated by Periodic Elements

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

In the present paper, as a generalization of the classical periodic rings, we explore those rings whose elements are additively generated by two (or more) periodic elements by call…

math.RA2022

Products of Unipotent Elements in Certain Algebras

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

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

math.RA2019

Crossed products whose unit group is locally solvable

M. Ramezan-Nassab

Crossed products whose unit group is locally solvable

math.RA2013

Nilpotent and polycyclic-by-finite maximal subgroups of skew linear groups

M. Ramezan-Nassab, D. Kiani

Let D be an infinite division ring, n a natural number and N a subnormal subgroup of GLn(D) such that n = 1 or the center of D contains at least five elements. This paper contains…