Simion Breaz

most citedRings in which every element is either a sum or a difference of a nilpotent and an idempotent

1 citations · 1 across the 2 of their papers we have counts for

collaborators

2 papers

math.RA2014★ 1 cited

Rings in which every element is either a sum or a difference of a nilpotent and an idempotent

Simion Breaz, Peter Danchev, Yiqiang Zhou

{Generalizing the notion of nil cleanness from \cite{D13}, in parallel to \cite{DM14}, we define the concept of {\it weak nil cleanness} for an arbitrary ring. Its comprehensive st…

math.AC2014

A Baer-Kaplansky theorem for modules over principal ideal domains

Simion Breaz

We will prove that if $G$ and $H$ are modules over a principal ideal domain $R$ such that the endomorphism rings $End_{R} (R \oplus G)$ and $End_{R} (R \oplus H)$ are iso…