关于环的模糊诣零-幂零性

摘要

讨论的环均是结合环未必有恒等元.利用模糊方法推广了诣零,(局部)幂零子环和理想的概念,建立了模糊诣零根及局部幂零根.研究了环的模糊诣零-幂零性问题.%Rings considered are associative and may not have identity.Using fuzzy methods,we generalize the notions of nil,(locally) nilpotent subrings and ideals in the classical theory of rings and the related radicals.And some fuzzy nil-nilpotent problems are investigated.