Browsing by Subject "Galois rings"

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    • On Unit Groups of Completely Primary Finite Rings 

      Chikunji, Chiteng'a John (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 ...