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On Unit Groups of Completely Primary Finite Rings
(The Berkeley Electronic Press (bepress), 2008-01)
Let R be a commutative completely primary finite ring with the unique maximal ideal J such that J3 = (0) and J2 6= (0): Then R⁄J ∼= GF(pr) and the characteristic of R is pk, where 1 ≤ k ≤ 3, for some prime p and positive ...
Unit groups of cube radical zero commutative completely primary finite rings
(Hindawi Publishing Corporation, 2005-07)
A completely primary finite ring is a ring R with identity 1 = 0 whose subset of all its zero divisors forms the unique maximal ideal J. Let R be a commutative completely primary finite ring with the unique maximal ideal ...