In this paper, the definition of nil radical of zero normal NCD-ring R is given, and the proof is made for that nil radical n(R) is the greatest ideal of R and R / n(R)has no non-zero nil ideals when n(R) is the smallest ideal of R.
本文给出零正规NCD-环R的诣零根n(R)的定义,完成了“零正规NCD-环R的诣零根n(R)是R的最大理想及n(R)是使商环R/n(R)无非零诣零理想的最小理想”的证明。
Inthe thirdsectionitis provedthatthe definitionof nil ideal over anartin hemiringisinfactequivalent tothe definition of nilpotent ideal .
该文研究了半环上的幂零与幂零元理想,得出在阿丁半环上的关于幂零理想与幂零元理想的定义是等价的,且还引进了完全可减半环,并证明出任一个阿丁(诺特)完全可减半环R必存在一个极大幂零理想B,满足:B包含所有幂零单边理想,并且商半环R/B没有非零幂零理想。
In tins paper,we introduce the notion of like-zero ideals and ant-obstinate ideds,and investigate important properties and characterizations of them.
本文在BCI-代数中引入似零理想和反固执理想的概念,并研究了它们的重要性质和特征。
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