Artinian radical and its application (Q1065119)

Let A be the artinian radical of the noetherian ring R and suppose that R has Krull dimension one. The author considers the prime ideals arising as annihilators of simple subfactors of A and gives a criterion for the existence of an artinian quotient ring of R in terms of primary decompositions of the powers of the right and left annihilators of A. These primary decompositions involve only the powers of the primes mentioned above.