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A classification of cube radical zero completely primary finite rings

Chikunji Ch. J.

Demonstratio Mathematica

2005

Vol. 38, nr 1

7--20

In this paper, we consider the isomorphism problem of a class of completely primary finite rings R such that if M. is the Jacobson radical of R, thenM3 = (0) and M2 = (0), in the general case (not necessarily the case where the maximal Galois subrings lie in the center). We further obtain the number of non-isomorphic classes in a special case of these rings.