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(Hungerford exercise 31, page 143)
Let R be a commutative ring without identity and let a \in R
Show that A = \{ ra + na \ | \ r \in R, n \in \mathbb{Z} \} is an ideal containing a and that every ideal containing a also contains A. (A is called the prinicipal ideal generated by a)
Let R be a commutative ring without identity and let a \in R
Show that A = \{ ra + na \ | \ r \in R, n \in \mathbb{Z} \} is an ideal containing a and that every ideal containing a also contains A. (A is called the prinicipal ideal generated by a)