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    Integral domain

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    There is integral domain with exactly six elements. Disprove or Prove

    © BrainMass Inc. brainmass.com December 24, 2021, 5:00 pm ad1c9bdddf
    https://brainmass.com/math/integrals/integral-domain-21829

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    Disprove
    Suppose R is an integral domain with |R|=6. By the definition, R contains two element 1 and 0 where 1 is the multiplication identity and 0 is the addition identity and 1 is not equal to 0. R does not have zero factors.
    We consider its zero idea Z=(0).
    If Z=(0) is a maximal ideal of R, ...

    Solution Summary

    This is a proof regarding integral domain with six elements.

    $2.49

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