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The zero divisor conjecture implies the idempotent conjecture, not the other way around as $1$ and $0$ are the only idempotents in a ring with unity and no zero-divisors, nothing sure about the other way around
The zero divisor conjecture implies the idempotent conjecture, not the other way around as $1$ and $0$ are the only idempotents in a ring with unity and no zero-divisors
The zero divisor conjecture implies the idempotent conjecture as $1$ and $0$ are the only idempotents in a ring with unity and no zero-divisors, nothing sure about the other way around
The zero divisor conjecture implies the idempotent conjecture, not the other way around as $1$ and $0$ are the only idempotents in a ring with unity and no zero-divisors
