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- Jun 22, 2012

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Let R be a commutative ring without identity and let [TEX] a \in R [/TEX]

Show that [TEX] A = \{ ra + na \ | \ r \in R, n \in \mathbb{Z} \} [/TEX] is an ideal containing a and that every ideal containing a also contains A. (A is called the prinicipal ideal generated by a)