Upper radicals and essential ideals

Journal of the Australian Mathematical Society

Dwight M. Olson¹ 

[1] Terry L. Jenkins

关键词: 16 A 21;   

DOI  :  10.1017/S1446788700017870

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

For any class of ringsit is shown that the class(M) of all rings each nonzero homomorphic image of which contains either a nonzero -ideal or an essential ideal is a radical class. Ifis a class of simple rings the upper radical generated by , (M), is shown to be equal to (M) where ' is the class of simple rings complementary to .

【 授权许可】

Unknown