| − | A '''ring''' in [[mathematics]] is a set ''R'' equipped with two [[binary]] [[operation]]s, usually called addition and multiplication, that is a [[group]] under the operation of addition and a semi-group (no inverses) under the operation of multiplication. | + | A '''ring''' in [[mathematics]] is a set ''R'' equipped with two [[binary]] [[operation]]s, usually called addition and multiplication, that is a [[group]] under the operation of addition and a monoid (no inverses) under the operation of multiplication. |