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Sudhanshu Ranjan posted an Question
August 21, 2020 • 06:22 am 30 points
  • CSIR NET
  • Mathematical Sciences

Let r be a finite nonzero boolean ring with identity. prove that r ∼= z/2z×· · · z/2z.

Let R be a finite nonzero Boolean ring with identity. Prove that R ∼= Z/2Z×· · · Z/2Z.

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  • Shashi ranjan sinha best-answer

    Since 1 is not equal to 0, therefore R is not zero ring. Thus, R is a nonzero finite Boolean ring with unity and so the required proof is as per above attachment

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