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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…