关于加群自同态不变的环的根

RADICAL OF RINGS FOR ENDOMORPHISM'S OF THE ADDITIVE GROUPS IS INVARIANT

在文[1]中问题6提出:“哪些根性质,对于每个环A,R(A)关于加群(A,+)的任意自同态是不变的?”本文给出了刻划如此的根性质的一个充分必要条件。

In the book 〔 1 〕 , problem 6 points out. which radical prop-ertlse have the property that R( A) is invariant in every ring with respect to all endomorphisms of the additive group (A, +)? This paper gives a necessary and sufficient condition for such radical property.