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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.

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

#### Solution Preview

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.

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