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# Multiplication is distributive with respect to addition, meaning that:
#* for all in (left distributivity).
#* for all in (right distributivity).

In notation, the multiplication symbol is often omitted, in which case is written as .

Variations on terminology

In the terminology of this article, a ring is defined to have a multiplicative identity, while a structure with the same axiomatic definition but without the requirement for a multiplicative identity

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