MATH 436 Notes: Applications of Unique Factorization
نویسنده
چکیده
We have previously discussed the basic concepts and fundamental theorems on unique factorization in PIDs. We will provide a few examples of how unique factorization is used in applications to number theory. One cannot stress how important the concept of unique factorization is in many mathematical applications and definately in algebraic number theory. We unfortunately will only have the time to get a taste of it but it should give the reader an idea. Before we can do this, we need a useful simple method to show that a given integral domain is a PID. This is provided in the next concept:
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