rnt24-gaussian-primes

Ring Theory: As an application of all previous ideas on rings, we determine the primes in the Euclidean domain of Gaussian integers Z[i]. Not only is the answer somewhat elegant, but it contains a beautiful theorem on prime integers due to Fermat. We finish with examples of factorizations in Z[i].

Tagged under: mathematics,ring,theory,abstract,algebra,Ring (mathematics),Gaussian,integers,unit,prime,unique,factorization,domain,principal,ideal,integral,irreducible,lattice,Euclidean,divisor,field,fermat,Math,theorem

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