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- [Type here] 23. Let be a Boolean ring with unity. Prove that every element ofexceptandis a zero divisor. [Type here]If R1 and R2 are subrings of the ring R, prove that R1R2 is a subring of R.50. Let and be nilpotent elements that satisfy the following conditions in a commutative ring: Prove that is nilpotent. for some