Browsing School of Biological, Physical, Mathematics & Actuarial Sciences by Subject "completely primary finite rings"
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On the structures of quotient groups
(Academic Publications, 5/22/2009)Let J be the Jacobson radical of a commutative completely primary finite ring R such that J k 6= (0) and J k+1 = (0). Then R/J ∼= GF(p r ), the finite field of p r elements, and the characteristic of R is p k where k ≥ 2 ...
