ZERODIVISOR
Zero divisor
In abstract algebra, an element of a ring is called a left zero divisor if there exists a nonzero such that, or equivalently if the map from to sending to is not injective. Similarly, an element of a ring is called a right zero divisor if there exists a nonzero such that . This is a partial case of divisibility in rings. An element that is a left or a right zero divisor is simply called a zero divisor. An element that is both a left and a right zero divisor is called a two-sided zero divisor . If the ring is commutative, then the left and right zero divisors are the same.The above text is a snippet from Wikipedia: Zero divisor
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