Ring

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A ring is a structure of abstract algebra, similar to a group or a field. A ring $R$ is a set of elements with two operations, usually called multiplication and addition and denoted $\cdot$ and $+$, which have the following properties:

There exists an element, usually denoted 0, such that $0 + a = a + 0 = a$ for all $a\in R$. (List of other defining properties goes here.)


Common examples of rings include the integers or the integers taken modulo $n$, with addition and multiplication as usual. In addition, every field is a ring.