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Upper radicals and essential ideals
Published online by Cambridge University Press: 09 April 2009
Abstract
For any class of rings it 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. If is 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 .
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- Copyright © Australian Mathematical Society 1981
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