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    Give an example of a ring which is not a principle ideal domain.

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    Give an example of a ring which is not a principle ideal domain.

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    https://brainmass.com/math/ring-theory/give-example-ring-principle-ideal-domain-42535

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    Not all ideals are principle. For example, consider the commutative ring C[x,y] of all polynomials in two variables x and y, ...

    Solution Summary

    Rings and principal ideal domains are discussed in the solution.

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