Claims have a lot of space in construction projects, as they can have a considerable
monetary value and thus negatively affect the final amount and duration of the project. This …

We focus our attention on a ring property that nilpotents are contained in the Jacobson
radical. This property is satisfied by NI and left (right) quasi-duo rings. A ring is said to be NJ …

Let R be a ring with identity and J (R) denote the Jacobson radical of R. A ring R is called J-
reversible if for any a, b ∈ R b∈ R, ab= 0 ab= 0 implies ba ∈ J (R) ba∈ J (R). In this paper …

We introduce the idea of a right Z-reversible ring. The class of Z-reversible rings contains the
class of Dedekind finite rings and it contained in the classes of central reversible and right Z …

The concept of nil clean rings has been extended in several ways. This paper continues
investigation new generalizations of such rings. We define a U-nil clean ring as the one in …

For an associative ring R with identity, we define an element in R to be NR-clean if it is the
sum of a (von Neumann) regular and a nilpotent. R is called an NR-clean ring if every …

Let $ R $ be a ring, $ e $ an idempotent of $ R $ and $\delta (R) $ denote the intersection of
all essential maximal right ideals of $ R $ which is called Zhou radical. In this paper, the …

In 1942, McCoy proved that if a polynomial f (x) over a commutative ring R has a nonzero
annihilator in R [x], then it has a nonzero annihilator in R also. Later in 1957 McCoy proved …

2-诣零-clean环 Page 1 山东大学学报(理学版)2022年2月第57卷第2期 E-mail:xblxb@sdu.edu.cn
Journal of Shandong University (Natural Science)ꎬ Vol.57ꎬ No.2ꎬ 2022 http:/ / lxbwk.njournal.sdu.edu.cn …

We call an element in a ring 2-nil-regular if, it is sum of two regular elements and a nilpotent
element. A ring R is called 2-nil-regular if, its all elements are 2-nil-regular. We prove that R …