一般代数正规类中的δ-根类

杨宗文. 一般代数正规类中的δ-根类[J]. 云南大学学报(自然科学版), 2005, 27(5): 380-382.

引用本文:

杨宗文. 一般代数正规类中的δ-根类[J]. 云南大学学报(自然科学版), 2005, 27(5): 380-382.

YANG Zong-wen. The δ-radicals in general algebra normal classes[J]. Journal of Yunnan University: Natural Sciences Edition, 2005, 27(5): 380-382.

Citation:

YANG Zong-wen. The δ-radicals in general algebra normal classes[J]. Journal of Yunnan University: Natural Sciences Edition, 2005, 27(5): 380-382.

The δ-radicals in general algebra normal classes

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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