Бидний тухай
Багш ажилтан
Let U be a universal subclass of a universal class V of rings. We investigate connections between radicals in U and V . We dene T and Ts as follows: T = {A\in A_{ass}| every prime homomorphic image of A is not a hereditary Amitsur ring} Ts = {A\in A_{ass}| every prime homomorphic image of A has no nonzero ideal which is a hereditary Amitsur ring}. Let gamma is one of T, Ts and let A be a commutative ring with minimum condition on ideals. We give a sufficient and necessary condition for A to be gamma semi-simple.
We investigate connections in the classes of rings with chain property and the lattice of strongly hereditary radicals.
