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$\begingroup$

I am looking for rings that are integral domains but not factorization domains, that is, rings in which it is not possible to express a nonzero nonunit element as a product of irreducible elements.

Do you know any example?

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    $k[x_1,x_2,x_3,...]$ with $x_i=x_{i+1}^2$2012-01-06

5 Answers 5