9 citations · 11 across the 7 of their papers we have counts for
7 papers
Semi-complemented commutative group rings
W. Wm. McGovern, Y. Zhou
Recall that an element is {\bf complemented} if there is a such that and . In a recent article [1], the authors investigated thos…
Hypersimple Rings and Modules
Christian Lomp, Mohamed Yousif, Yiqiang Zhou
In this paper a simple right R-module S over a ring R is called hypersimple if its injective hull E(S) is cyclic, and a ring R is called right hypersimple if every simple right R-m…
When is every non central-unit a sum of two nilpotents?
Simion Breaz, Yiqiang Zhou
A ring is said to satisfy the -nil-sum property if every non central-unit is the sum of two nilpotents. We prove that a ring satisfies the -nil-sum property iff it is either…
Matrices over a commutative ring as sums of three idempotents or three involutions
Gaohua Tang, Yiqiang Zhou, Huadong Su
Motivated by Hirano-Tominaga's work \cite{HT} on rings for which every element is a sum of two idempotents and by de Seguins Pazzis's results \cite{de} on decomposing every matrix…
Rings in which every unit is a sum of a nilpotent and an idempotent
Arezou Karimi-Mansoub, Tamer Kosan, Yiqiang Zhou
A ring is a UU ring if every unit is unipotent, or equivalently if every unit is a sum of a nilpotent and an idempotent that commute. These rings have been investigated in Călu…
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…