A ring R is defined to be nil-semicommutative if ab\in N (R) implies arb\in N (R) for a, b, r\in
R, where N (R) stands for the set of nilpotents of R. Nil-semicommutative rings are …

A ring $ R $ is called $ GWCN $ if $ x^ 2y^ 2= xy^ 2x $ for all $ x\in N (R) $ and $ y\in R $,
which is a proper generalization of reduced rings and $ CN $ rings. We study the sufficient …

A ring R is called JTTC if for any a∈ N (R) and b∈ R,(ab) 2= ab 2 a, which is a proper
generalization of CN rings. In this paper, we show that (1) a ring R is commutative if and only …

A ring R is called left NQD if for every maximal left ideal M and every nilpotent element a of
R, Ma⊆ M. Some properties of left NQD rings are discussed such as:(1) A ring R is left NQD …

A ring R is called generalized ZI (or GZI for short) if for anya 2 N (R) and b 2 R, ab= 0 implies
aRba= 0, which is a proper generalizationof ZI rings. In this paper, many properties of GZI …