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camilus
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Im applying to an REU in San Diego State where the focus will be Nonunique factorization theory but I'm clueless as to what this actually is. Does anybody know anything about this?
The general area of study will be Number Theory, specifically Nonunique Factorization Theory. An Arithmetic Congruence Monoid, or ACM, is a multiplicatively closed subset of the naturals, such as {6, 36, 66, 96, 126, 156, 186, ...} with {1} included for convenience. We are concerned with the multiplicative structure. For example, 66*66=6*726, a factorization into "primes" in two different ways.