In this paper, we focus on the semicommutative property of rings via idempotent elements. In
this direction, we introduce a class of rings, so-called right e-semicommutative rings. The …

Let R be a ring and (S,≤) a strictly ordered monoid. In this paper, we deal with a new
approach to reflexive property for rings by using nilpotent elements, in this direction we …

Let R be a ring and (S,≤) a strictly ordered monoid. In this paper, we deal with a new
approaches to reflexive property for rings by using nilpotent elements. In this direction we …

The term a ring means an associative ring with identity, and a general ring means an
associative ring with or without identity. But every definition for a ring can be applicable to a …

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 central semicommutative if ab= 0 implies that aRb⊆ Z (R) for any a, b∈ R. Since
every semicommutative ring is central semicommutative, we study sufficient condition for …

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 …

Let J (R) denote the Jacobson radical of a ring R. R is called J-semicommutative if for any a,
b∈ R, ab= 0 implies a R b⊆ J (R). We observe that the class of J-semicommutative rings …

As a generalization of α‐skew McCoy rings, we introduce the concept of α‐skew π‐McCoy
rings, and we study the relationships with another two new generalizations, α‐skew π1 …

左广义弱零插入环的一个问题 Page 1 第59卷第5期 吉林大学学报(理学版) 2021年9月
JournalofJilinUniversity(ScienceEdition) Sep 2021 研究简报 doi:10.13413/j.cnki.jdxblxb.2021006 …