Difference between revisions of "Ring"
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There exists an element, usually denoted 0, such that <math>0 + a = a + 0 = a</math> for all <math>a\in R</math>. | There exists an element, usually denoted 0, such that <math>0 + a = a + 0 = a</math> for all <math>a\in R</math>. | ||
(List of other defining properties goes here.) | (List of other defining properties goes here.) | ||
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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. | ||
Revision as of 12:23, 11 July 2006
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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.
