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    {n.1 | n is interger} is a subdomain of the integral domain

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    Show that if D is an integral domain, then {n.1 | n is interger} is a subdomain of D contained in every subdomain of D.

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    https://brainmass.com/math/ring-theory/interger-subdomain-integral-domain-33743

    Solution Preview

    Please see the attached file.

    Let be an integral domain.
    Let is an integer} where 1 is the unity element.
    Then .
    Let be arbitrary, then such that

    For difference of two ...

    Solution Summary

    This solution is comprised of a detailed explanation of the subdomain of an integral domain.
    It contains step-by-step explanation for the following problem:
    Show that if D is an integral domain, then {n.1 | n is interger} is a subdomain of D contained in every
    subdomain of D.

    Solution contains detailed step-by-step explanation.

    $2.19

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