Abstract:This paper is a sequel to Reference [1 ]. Firstly the inverse theorem of a main theorm in reference [1] w as proved. Thus a property P satisfying some conditions of elements and a radical property R determine each other. Secondly the uniqueness of this determination w as studied. Lastly with these results it w as obtained that the Baer radical of Γ-rings is a radical determined by mnilpotency of elements.
陈维新 . 再论Γ-环由元素性质确定的根
[J]. 浙江大学学报(理学版), 2000, 27(2): 167-170.
C HEN Wei-xin. The sequel of radicals ofΓ-rings determined by property of elements. Journal of ZheJIang University(Science Edition), 2000, 27(2): 167-170.