Polynomial ring
Revision as of 11:40, 26 March 2009 by Solafidefarms (talk | contribs) (more formal definition? do we need to prove ringness? also {{stub}})
Given a (commutative) ring 
, the polynomial ring ![$R[x]$](http://latex.artofproblemsolving.com/1/4/d/14de719c0fff2385124cfbcbd01a2dbb7b9b3300.png)
is, informally, "the ring of all polynomials in 
with coefficients in ."
![\[R[x]=\left\lbrace\sum_{i=0}^\infty a_ix^i\mid a_i\in R\right\rbrace\]](http://latex.artofproblemsolving.com/d/5/8/d585db85a93fbd2eab2e56ca74c12011e2059d6c.png)
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