zero divisor meaning in English

零因子

The structure of a class of rings with zero divisors
一类具有零因子的环的结构
In the third section , the condition for a [ d ] without zero divisor has been obtained
第三节讨论了a [ d ]无零因子的条件。
Boolean ring has much distinctive difference from domain in that boolean ring has zero divisors . the difference gives rise to great difficult in researching linear characteristic
布尔环是有零因子环，此与一般整环有重要差别，这给线性特征的研究带来了较大困难。
In this paper , we shall characterize the linear operators that strongly preserve nilpotent matrices and that strongly preserve invertible matrices over boolean algebras and antinegative semirings without zero divisors
本文将刻画在布尔代数和非负无零因子半环上强保持幂零矩阵和可逆矩阵的线性算子
Also , by the means of the pattern of matrix and the pattern of linear operator , we characterize the linear operators that strongly preserve nilpotence and that strongly preserve invertibility over antinegative commutative semirings without zero divisors
另外,利用矩阵模式和算子模式等工具，我们在非负无零因子半环上刻画了强保持幂零的线性算子和强保持可逆的线性算子