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Polynomial ring

Revision as of 10:40, 26 March 2009 by Solafidefarms (talk | contribs) (more formal definition? do we need to prove ringness? also {{stub}})

Given a (commutative) ring $R$, the polynomial ring $R[x]$ is, informally, "the ring of all polynomials in $x$ with coefficients in $R$."

\[R[x]=\left\lbrace\sum_{i=0}^\infty a_ix^i\mid a_i\in R\right\rbrace\]


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