Tang Gaohua, Su Huadong, Commutative ring and zero-divisor semigroups of regular polyhedrons.
乔晓云，唐高华，郑学谦。单圈图的全图谱半径，广西科学15（2008），No.3，224-227 4。
Using properties of zero-divisors, regular elements and subdirectly irreducible ring, we obtain some results on the commutativity of semi-prime ring and Jacobson semi-simple ring as follows 1 Let R be a semi-prime ring, a∈R and 2a is not zero-divisor, If R satisfies one of the conditions in this paper, then R is commutative.
在某些特殊环的交换性方面取得了进一步的结果，并得到了一些新的结论，主要有一设R 为半质环，a∈R ，且2a 为非零因子，如果R 满足论文中八个条件之一，则可以证明环R 为交换环。
Let R be a Jacobson semi-simple ring, a ∈R and 2a is not zero-divisor. If R satisfies condition ∈Z, for any elements x, y in R, which n is an fixxed integer, then R is commutative.
三设R为Jacobson半单纯环，a∈R，且2a为非零因子，若对于任意x，y∈R，有∈Z，n为固定正整数，那么R 为交换环。
Zero-divisor Semigroups of Tournaments.
C#哈希表在零因子图研究中的应用。
Which is not middle divisor of zero.
它不是中间零因子。
The г - rings and Generalized г - rings with Ascending Chain Condition on Left Zero Divisor Ideals THE BOND WAVE FUNCTION
左零因子理想具升键条件之Г-环和广义Г-环
Regular non - zero divisor of N (2, 2, 0) algebra were introduced, and some results of regular non - divisor of N (2, 2, 0) algebra were obtained.
引入N（2，2，0）代数的正规非零零因子的概念，得到正规非零零因子的若干性质。
Some Results of Regular Non - Zero Divisor of N (2, 2, 0) algebra
关于N（2,2,0）代数的正规非零零因子的若干结果
At division, it presented the resolvent when divisor being zero.
除法运算中给出了除数为零的解决方案；
The Zero Divisor Graphs of Z_n [ω] and Formal Triangular Matrix Rings
Zn[ω]与形式三角矩阵环的零因子图
In this paper, we will completely characterize all power endomorphisms of rings without zero divisor.
本文将完全刻划出无零因子环的所有幂自同态。
The Zero-divisor Graphs of R (+) M and R (? ) I
R（+）M与R（？）I的零因子图
Let R be a commutative ring without zero-divisor, R is called a quasi-valuation ring, if it contains a non-zero element a such that any non-zero element of R divides a power of a.
一个无零因子的交换环R称为拟赋值环，如果R中有一个非零元素a，使得R的任意非零元都整除a的某个方幂。