Rings in which Every Element Is A Left Zero-Divisor

• 作 者: Yanli REN Yao WANG
• 机 构: SchoolofMathematicsandInformationTechnology,SchoolofMathematicsandStatistics
• 出 处: 数学研究及应用：英文版
• 发表日期: 2013年4期
• 关键词: 除数 戒指 元素 电话咨询 有限子集 等价刻画 RFA 零环 zero-divisor left zero-divisor ring strong left z
• 基金项目: Supported by the National Natural Science Foundation of China （Grant Nos. 11071097, 11101217）.

We introduce the concepts of left (right) zero-divisor rings, a class of rings without identity. We call a ring R left (right) zero-divisor if rR (a) = 0 (lR (a) = 0) for every a∈R, and call R strong left (right) zero-divisor if rR(R) = 0 (lR(R) = 0). Cam