Proposition: For any ring R the following conditions are equivalent (i) R is a semi-prime ring....

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Proposition: For any ring R the following conditions are equivalent (i) R is a semi-prime ring. (ii) Nil-(R) = 0. (iii) R has no non-zero nilpotent ideal. (iv) R has no non-zero nilpotent right ideal. Proposition: For any ring R the following conditions are equivalent (i) R is a semi-prime ring. (ii) Nil-(R) = 0. (iii) R has no non-zero nilpotent ideal. (iv) R has no non-zero nilpotent right ideal.

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R has no hon zexo Fox any ring R the fullowing one conditians equiv... View the full answer