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    Rings : Fields

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    Prove that Z5/(x2 + x + 1) is a field. How many elements are there in this field? Can you also represent it as Z5[x]/(x2-a) where a is some element of Z5?

    © BrainMass Inc. brainmass.com February 24, 2021, 2:16 pm ad1c9bdddf
    https://brainmass.com/math/ring-theory/rings-fields-10958

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    Solution Summary

    The elements of rings and fields are investigated. The solution is detailed and well presented.

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