Ring
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A ring is a structure of abstract algebra, similar to a group or a field. A ring is a set of elements with two operations, usually called multiplication and addition and denoted
and
, which have the following properties:
There exists an element, usually denoted 0, such that for all
.
(List of other defining properties goes here.)
Common examples of rings include the integers or the integers taken modulo , with addition and multiplication as usual. In addition, every field is a ring.