Publication: A Review of the theory of completely primary finite rings
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Abstract
We give a review of recent developments in the theory of finite rings with identity and pay special attention to a class of finite rings whose sets of all zero divisors form additive groups. We further describe the structure of such rings and provide a general representation for these rings as additive direct sums of cyclic modules over their maximal Galois subrings.
Description
Paper presented at Strathmore International Math Research Conference on July 23 - 27, 2012
We give a review of recent developments in the theory of finite rings with identity and pay special attention to a class of finite rings whose sets of all zero divisors form additive groups. We further describe the structure of such rings and provide a general representation for these rings as additive direct sums of cyclic modules over their maximal Galois subrings.
We give a review of recent developments in the theory of finite rings with identity and pay special attention to a class of finite rings whose sets of all zero divisors form additive groups. We further describe the structure of such rings and provide a general representation for these rings as additive direct sums of cyclic modules over their maximal Galois subrings.