Difference between revisions of "Ring"
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| − | Common examples of rings include the [[integer]]s or the integers taken [[modulo]] <math>n</math>, with addition and multiplication as usual. In addition, every field is a ring. | + | Common examples of rings include the [[integer]]s or the integers taken [[modular arithmetic|modulo]] <math>n</math>, with addition and multiplication as usual. In addition, every field is a ring. |
Revision as of 13:24, 11 July 2006
This article is a stub. Help us out by expanding it.
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.
