Formulate the appropriate definition of a subdomain (that
Chapter 13, Problem 33E(choose chapter or problem)
Formulate the appropriate definition of a subdomain (that is, a "sub" integral domain). Let D be an integral domain with unity 1. Show that \(P=\{n \cdot 1 \mid n \in Z\}\) (that is, all integral multiples of 1 ) is a subdomain of D. Show that P is contained in every subdomain of D. What can we say about the order of P ?
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