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A '''ring''' in [[mathematics]] is a set ''R'' equipped with two [[binary]] [[operations]], usually called addition and multiplication, satisfying that
A '''ring''' in [[mathematics]] is a set ''R'' equipped with two [[binary]] [[operation]]s, usually called addition and multiplication, satisfying that
'''2.''' ''R'' with multiplication is a [[semigroup]];
'''2.''' ''R'' with multiplication is a [[semigroup]];
'''3.''' multiplication [[distributes]] over addition.
'''3.''' multiplication [[distribute]]s over addition.