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General Radicals that Coincide with the Classical Radical on Rings with D.C.C.
Published online by Cambridge University Press: 20 November 2018
Extract
General radical theories were obtained by Amitsur (1; 2; 3) and Kurosh (6). Following Kurosh we say that a property of rings is a radical property if:
(a) Every homomorphic image of an -ring is an
-ring;
(b) Every ring R contains an -ideal S which contains every other
-ideal of R;
(c) The factor ring R/S is-semi-simple (that is, has no non-zero
-ideals).
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- Copyright © Canadian Mathematical Society 1961
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