We consider in-depth and characterize in certain aspects those rings whose non-units are
strongly nil-clean in the sense that they are a sum of commuting nilpotent and idempotent. In …

Let R be a ring with an endomorphism σ and F∪{0} the free monoid generated by U={u 1,…,
ut} with 0 added, and M a factor of F setting certain monomial in U to 0, enough so that, for …

This paper concerns mainly on various ring properties of some subrings of a skew triangular
matrix ring. Necessary and sufficient conditions are obtained for a skew triangular matrix ring …

研究斜三角矩阵环T (R, n, α) 的几个新的环论性质, 证明了:(1) 设α 是环R 的一个自同态且α (1)=
1, 则R 是Hermite 环当且仅当T (R, n, α) 是Hermite 环;(2) R 是右弱McCoy 环当且仅当T (R, n …

For a ring R, endomorphism α of R and positive integer n, we study quasi-Frobenius, weakly
continuous, and strongly π-regular properties of a ring R [x; α]/(xn). Necessary and sufficient …

研究T-幂零环的一些扩张性质ꎬ 主要证明了:(1) 设R 是一个环ꎬα 是R 上的自同构ꎬ 则R 是左T-
幂零环当且仅当R 上的斜多项式环R [xꎻα] 是左T-幂零环ꎬ 当且仅当斜洛朗多项式环R [xꎬx-1 …

Nilpotents in Armendariz and abelian π-regular rings are multiplicatively closed. However,
this fact need not hold in many kinds of rings. This article concerns a class of rings whose …

Quantale的L-模糊理想 Page 1 山东大学学报(理学版)2019年12月第54卷第12期 E-mail:xblxb@sdu.edu.cn
Journal of Shandong University (Natural Science)ꎬ Vol.54ꎬ No.12ꎬ 2019 http:/ / lxbwk.njournal.sdu.edu.cn …

Let X be a finite partially ordered set, R an associative unital ring and σ an endomorphism of
R. We describe some properties of the skew incidence ring I (X, R, σ) such as invertible …

The semicommutative property of rings was introduced ini-tially by Bell, and has done
important roles in noncommutative ring the-ory. This concept was generalized to one of nil …