一般代数正规类中的δ-根类
The δ-radicals in general algebra normal classes
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摘要: Szasz F A提出下列公开问题:求根性质R对任意环A和A的任意2个理想I1,I2满足R(I1+I2)=R(I1)+R(I2)的充分必要条件(即Szasz的问题12).利用δ-根给出了这个问题推广到一般代数正规类中的充分必要条件.Abstract: Szasz F A has put forword an open problems(Problem 12):How can a necessary and sufficient condition be formulated for a radical property Rin order that R(I1)+R(I2)=R(I1+I2)should always be valid for arbitrary idealsI1 and I2 of an arbitrary ring?By means of δ-radicals this note has given a result of the problem in general algebra normal classes.
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