Page "Commutative ring" Paragraph 15
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In contrast to fields, where every nonzero element is multiplicatively invertible, the theory of rings is more complicated.
Another particular type of element is the zero divisors, i. e. a non-zero element a such that there exists a non-zero element b of the ring such that ab = 0.
If R possesses no zero divisors, it is called an integral domain since it closely resembles the integers in some ways.
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